Immigration is absolutely a part of this deal. Interestingly, EU official communications and western media barely mention this, but the Indian government's official communication tout a "new framework for mobility" that will "open up new opportunities in the European Union for Indian students, workers, and professionals." [1]
[1] https://www.mea.gov.in/Speeches-Statements.htm?dtl%2F40615%2...
The quote is “Alongside this ambitious FTA, we are also creating a new framework for mobility. This will open up new opportunities in the European Union for Indian students, workers, and professionals.”
I read it as he is working on a separate deal besides the aforementioned FTA.