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Abingdonboy;
I guess first off the blocks will be Fincantieri, since the existing 27k design is very easily modifiable upto 40k and other specs seem similar to the Deepak Class. Then German builders like Bremer Vulkan are also possible since they have experience in this field too whether it is hull, propulsion etc.
The RAS handling eqpt will be third-party in nearly all cases.
But we have to watch for Korean yards; since in generic ship-building terms they can provide the optimal mix of quality and cost. Though I'm not sure if they have tendered for similar ships before, but that is no impediment; since design consultancy is available from specialist ship-design firms.
An outside chance is a JV between a local pvt yard like Pipavav and some foreign yard. But that will really be an outside chance.