If you don't have a PhD yet, and your undergrad and Masters degree are both from India, then the first step would be to apply for a fully funded PhD fellowship in the country where you wish to teach eventually. While working on your PhD, your Fellowship will allow you to take the occasional class, help senior faculty do research and also focus on publications. Focus on quality rather than quantity. At your level, even 3 quality international publications would be good. Try to focus on learning dissemination of research, creating impact of your study and how to draft effective project funding proposals. These are skills valued in academics abroad, but barely taught in India otherwise. On finishing your PhD, you would get access to lecturer positions (UK, Germany, Canada, Scandinavian countries), especially if you manage to obtain decent recos from your supervisor. In the USA, it's difficult, people struggle a lot to get entry level teaching positions on a contract, let alone become tenure track. Contacts would play a large role.

If you have already got your PhD from here, then you should start by applying for the various post-doc fellowships abroad. If you have got regulatory experiences (SEBI, CCI, TRAI etc.), scholarships and fellowships are easier to get. Also start participating in international conferences for both exposure and networking purposes. Several foreign law journals issue open calls for guest editors, visiting editors etc. Try applying for those too. It's an incremental process.