If I finish my CPL from, say, the US, and have done a single engine CPL with IR, with a multi add-on, will the DGCA recognize that with no complications?
That's fine, won't be a problem.
to convert that licence I would have to give skill checks on a single in India, but how would the multi rating be handled? Just a skill check on the same multi in India, or getting multi-training again in India to get it endorsed on the Indian CPL (after it is issued, or can the two be done together)?
Apply to DGCA with skill checks on SE done in India and the same checks done on ME in USA, both within last 6 months. You don't need to do multi flying in India. If all your paperwork is good, you will get your licence in 8 weeks.
