MBBS

Of course, yes. But on one condition.
The Degrees will be recognised only if they are for enrollment of medical practitioners in the countries from where they are obtained because the union government issued a notification under Indian Medical Council Act, 1956. It is basically to recognise the post graduate medical degrees awarded in the countries like:
Canada Australia United Kingdom The United States of America New Zealand
The decision was to overcome the shortage the medical practitioners in India.
Note: The degrees will be recognised on condition that they are recognised for enrollment of medical practitioners in the countries from where they are obtained.
Foreign postgraduate medical degrees used to be recognised in India in the past, but now, the system has changed.
So, since the government has recognised foreign degrees, those holding them like you need not go through the screening test.
Usually, this test is conducted by the MCI. The recognition has come as a boon now to Indian students who went abroad.
As you are willing to acquire a postgraduate degree after you MBBS, you don't need to worry at all. Now, you can come back and practise.
One positive aspect is that those having foreign degrees would be able to practise in India. So, I think you are lucky.
Source: http://entrance-exam.net/forum/study-abroad/foreign-pg-medical-degree-recognized-mci-india-1374109.html#ixzz4eSheEAtv

Dear Ashish,
In order to pursue MBBS in India, you need to score exceptionally well in the entrance exams. Cost of pursuing MBBS is affordable across all government medical colleges in India. MBBS seats are very less and competition is tough.
To pursue MBBS abroad at an affordable cost Russia, Ukraine are good options as they have government medical universities where cost of education is affordable even for a foreign student. Tuition fee per year starts from approximately 2 lakhs per annum. A word of caution: ensure you choose an MCI listed university and also enquire whether they offer English medium for MBBS.
To know more in details about universities and admission assistance, kindly contact us or write back.