There are many firms belonging to other countries in India. So their head offices will appoint Indian Lawyers as Consultants. Basically, their requirement will be representing their company in the Indian courts and Law department and for that, they will appoint you. You will be in India only and working for them and as and when required you may have to visit their HO in other countries.
If you want to practise as a Lawyer in other countries, the policy will be dependent on the country where you want to go. Some countries never recognise Indian Law degree for their country. In such a case you may have to study the 3 years law course again there. In some European countries, they will not recognise the Indian Law degree.
In London, there are some Law firms which will appoint Indan Lawyers but they should pass the QLTS examination during their training period. Dubai will not accept Indian Lawyers.
In the USA to get admitted to the Bar council, you have to write a special exam there and you have to clear that. Again in the USA, this will be done on State level.
There are many countries where Indian Lawyers accepted as it is. You have to decide on the country and then see those procedures in that country.