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Ans: Hi, I understand that you pursued a medicine course in Russia (a non-European country) and, since you are from India, you have completed the FMGE. Now you want to practice or work in the UK as a doctor?

Based on your question, you are eligible to practice in India after completing your internship (which you haven't mentioned, but I assume you have completed it). The FMGE is essentially a licensure exam for Indian students who have completed their medical studies abroad, so you are eligible to practice in India only.

If you want to practice medicine in the UK, you need to complete the PLAB test, as you are from outside the UK/Switzerland/European countries (Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland).

You also inquired about sponsorship. Here is the information related to sponsorship for practicing medicine in the UK.
(Extracted from general medical council, uk org. )Applying for registration using sponsorship
If you apply through sponsorship, you will have to satisfy the sponsor that you possess the knowledge, skills and experience required for practising as a fully registered medical practitioner in the UK. Each sponsor has their own scheme which we have pre-approved. If you can satisfy the requirements of their scheme, they will issue you with a Sponsorship Registration Certificate (SRC) which you will need for your application with us. Please ensure this is a Sponsorship Registration Certificate for GMC registration, as we can’t accept UK visa sponsorship certificates for your application for registration.
Please note that a core part of all sponsors' criteria is that a doctor applying for an offer of sponsorship must have been engaged in medical practice for three out of the last five years including the most recent 12 months. If you cannot meet these minimum criteria, it is unlikely that you'll be able to supply sufficient evidence to support your application for sponsorship.
Doctors applying through sponsorship are required to demonstrate their English language skills by achieving our current minimum scores in the academic version of the IELTS test or the OET (medicine version).
• Alder Hey International Fellowship Scheme (Anaesthetics)
• Betsi Cadwaladr University Health Board - BCUHB IMG Sponsorship Scheme
• BAPIO Training Academy Ltd – BTA International Fellowship Scheme
• BAPIO Training Academy Ltd – International Training Programme for Postgraduate Doctors
• BAPIO Training Academy Ltd - BTA International Fellowship Scheme – Internal Medicine with interest in Oncology with MSc in Oncology
• Barking Havering and Redbridge University Hospitals NHS Trust - BHRUT Sponsorship Scheme for Overseas Doctors in Clinical Radiology
• Birmingham and Solihull Mental Health NHS Foundation Trust - International Medical Fellowship Programme in Psychiatry (Birmingham)
• Birmingham Women’s and Children’s Hospital – Birmingham Women’s and Children’s International Medical Graduate sponsorship scheme
• Bradford District Care NHS Foundation Trust - International Medical Fellowship in Psychiatry
• Cambridge IVF, Cambridge University Hospitals NHS Trust – IVF Senior Clinical Fellowship Scheme
• Cambridge University Hospital – Senior Clinical Fellowship Scheme in Intensive Care Medicine/Anaesthesia
• Canterbury Christ Church University
• Cumbria Northumberland Tyne and Wear NHS Psychiatry Fellowship Programme
• Derbyshire Healthcare NHS Foundation Trust - International Medical Fellowship Programme in Psychiatry
• Dudley Group NHS Foundation Trust
• East Lancashire Hospitals NHS Trust - Clinical Fellowship in Urology or Ophthalmology
• East Lancashire Hospital NHS Trust - Specialist Clinical Fellowship in Pain Management
• East London NHS Foundation Trust (ELFT) – ELFT Advanced International Fellowship in Psychiatry
• East Suffolk and North Essex NHS Foundation Trust – ICENI Centre Fellowships Programme
• Edge Hill University and Wrightington, Wigan and Leigh NHS Trust – International Training Fellowships in MCh programmes
• ENT UK – Royal College of Surgeons
• Essex Partnership University NHS Foundation Trust – EPUT Advanced Fellowship in Psychiatry
• Frimley Health NHS Foundation Trust – International Fellowship in Regional Anaesthesia combined with MSc in Principles of Regional Anaesthesia at the University of East Anglia
• Great Ormond Street Hospital International Fellowship Programme
• Guy's and St Thomas' Hospitals NHS Foundation Trust – Critical Care
• Guy’s and St Thomas’ NHS Foundation Trust – International Clinical Fellowship Programme (ICFP)
• Guy's and St Thomas' Hospitals NHS Foundation Trust – Obstetrics and Gynaecology
• Guy’s and St Thomas’ NHS Hospitals Foundation Trust – Oncology Specialty Training
• Guy's and St Thomas' NHS Hospitals Foundation Trust – Specialty Training in Anaesthetics
• Harefield Hospital, Royal Brompton and Harefield NHS Trust – Anaesthesia and Critical Care
• Hertfordshire Partnership University NHS Foundation Trust
• Hull University Teaching Hospitals NHS Trust – International Fellows at Hull University Teaching Hospitals NHS Trust
• Humber Teaching NHS Foundation Trust - Sponsored International Fellowship Scheme in Psychiatry
• Imperial College Healthcare NHS Trust – Emergency Medicine
• Imperial College Healthcare NHS Trust – Haematology
• Imperial College Healthcare NHS Trust – International Anaesthesia Trainees
• Imperial College Healthcare NHS Trust – Intensive Care Medicine
• Imperial College, London - Clinical Research
• King’s College Hospital NHS Trusts – International Critical Care Fellowship
• King’s College Hospital NHS Trusts – Paediatric Critical Care Fellowship
• Lancashire & South Cumbria NHS Foundation Trust - Psychiatry specialty Fellowship Scheme
• Lancashire Teaching Hospitals NHS Trust - Overseas Registrar Development and Recruitment (ORDER)
• Leeds Teaching Hospitals NHS Trust – International Fellowship Programme
• Leicestershire Partnership NHS Trust – International Medical Fellowship Programme in Psychiatry
• Lincolnshire Partnership NHS Foundation Trust – CESR Fellowship in Psychiatry or Sponsored Fellowship in Psychiatry
• Lysholm Dept of Neuroradiology – National Hospital for Neurology and Neurosurgery, UCL
• Manchester University NHS Foundation Trust – International Fellowship Programme
• Midlands Partnership NHS Foundation Trust
• Ministry of Defence – International Military Clinical Fellowships
• Modality Partnership - Modality Primary Care International Fellowship Scheme
• NAViGO Health and Social Care CIC – International Medical Fellowship in Psychiatry
• NHS England, East of England - East of England International Office GMC Sponsorship
• NHS Fife – CESR Fellowship Programme in Psychiatry
• NHS Grampian – Psychiatry CESR Fellowship Programme
• NHS Grampian – Multi-specialty SAS Fellowship
• NHS Wales Shared Services Partnership (NWSSP) – All Wales International Medical Recruitment Programme
• Norfolk and Suffolk NHS Foundation Trust (NSFT) - Advanced Clinical Fellowship in Psychiatry
• North Lincolnshire and Goole NHS Foundation Trust (NLAG) Sponsorship Programme
• Northampton General Hospital – Clinical Fellowship in Regional Anaesthesia
• Northampton General Hospital NHS Trust - International Clinical Fellowship in Regional Anaesthesia, Vascular Anaesthesia, or Peri-operative Medicine
• Northamptonshire Healthcare NHS Foundation Trust – International Clinical Fellowship Scheme
• Northamptonshire Healthcare NHS Foundation Trust – International Clinical Fellowship Scheme (Psychiatry)
• Northern Care Alliance – NCA International Medical Fellowship Scheme
• Oxford University Hospitals NHS Foundation Trust – Oxford Eye Hospital
• Oxford University Hospitals NHS Foundation Trust – Oxford Intensive Care Medicine (OxICM) Sponsorship Scheme
• Oxford University Hospitals NHS Foundation Trust – Oxford University Hospitals Sponsorship Scheme
• Oxford University Hospitals NHS Foundation Trust – The Oxford International Neonatal and Paediatric Fellowship Programme
• Rotherham Doncaster and South Humber NHS Foundation Trust - Sponsored International Fellowship Scheme in Psychiatry
• Royal College of Anaesthetists – Global Fellowship Scheme (Anaesthesia or ICM)
• Royal College of Anaesthetists – MTI Scheme
• Royal College of Emergency Medicine
• Royal College of Obstetricians and Gynaecologists – MTI Scheme
• Royal College of Ophthalmologists
• Royal College of Paediatrics and Child Health – International Paediatric Sponsorship Scheme
• Royal College of Paediatrics and Child Health – MTI Scheme
• Royal College of Pathologists
• Royal College of Physicians of Edinburgh
• Royal College of Surgeons of England
• Royal College of Physicians of London
• Royal College of Physicians and Surgeons of Glasgow
• Royal College of Psychiatrists – MTI Scheme
• Royal College of Radiologists – Clinical Radiology
• Royal College of Radiologists – Clinical Oncology
• Royal College of Radiologists – RCR Specialty Training Sponsorship Scheme
• Royal College of Surgeons of Edinburgh
• Royal Devon and Exeter NHS Trust
• Royal Papworth Hospital NHS Foundation Trust – Senior Clinical Fellowship Programme in Anaesthesia and Critical Care
• Royal Wolverhampton Trust – Clinical Fellowship Programme
• Sheffield Children’s NHS Foundation Trust - Rotational Clinical Fellows in Paediatrics, Trauma and Orthopaedic International Fellows, and Subspeciality Fellows in Paediatrics
• Sheffield Health and Social Care NHS Foundation Trust - International Medical Fellowship in Psychiatry
• Somerset NHS Foundation Trust – Somerset Overseas Doctors Sponsorship Scheme
• Somerset NHS Foundation Trust – Psychiatry Overseas Doctors Sponsorship Scheme
• South Warwickshire University NHS Foundation Trust - GMC Multispecialty Sponsorship Scheme
• South West Yorkshire Partnership NHS Foundation Trust – International Fellowship in Psychiatry
• Southmead Hospital, North Bristol NHS Trust – International Obstetrics and Gynaecology Training Programme
• St Bartholomew’s Hospital, Barts Health NHS Trust – St Bartholomew’s Critical Care Fellowship
• St George’s University Hospitals NHS Foundation Trust – International Anaesthetics Fellowship Programme
• St George’s University Hospital NHS Foundation Trust (Dr Nirav Shah) – International Intensive Care Medicine Trainees
• St George’s University Hospitals NHS Foundation Trust – International Emergency Medicine Trainees
• Surrey and Borders Partnership (SABP) NHS Foundation Trust – International Psychiatric and Community Paediatrics Sponsorship Scheme
• Tees, Esk and Wear Valleys NHS Foundation Trust – International Psychiatric CESR or SAS Fellowship
• University College London Hospitals NHS Foundation Trust, Department of Critical Care – Clinical Fellowship Critical Care and Perioperative Medicine
• University Hospital Birmingham NHS Foundation Trust - International Training Fellowship Programme
• University Hospitals Birmingham NHS Foundation Trust - UHB LED Fellowship Programme
• University Hospitals Bristol and Weston NHS Foundation Trust – Bristol Children's Hospital International Fellowship Scheme
• University Hospitals Bristol and Weston NHS Foundation Trust - Department of General Internal Medicine at Weston General Hospital
• University Hospitals Coventry and Warwickshire NHS Trust
• University Hospitals of Leicester NHS Trust - Postgraduate Clinical Fellowship Programme
• University of Buckingham – Master of Medicine
• University of Buckingham – Master of Surgery
• University of Chester and Cheshire and Wirral Partnership NHS Trust – International Training Fellows Psychiatry
• University of Hertfordshire – Professional Doctorate in General Internal Medicine (Clinical MD) Programme
KINDLY NOTE: If your sponsor is not on this list then you cannot apply using sponsorship.
If you have any further questions, please visit the GMC website for more information.

WISH YOU ALL THE VERY BEST.