At close of play on the second day, Services were 85 for three in 32 overs at the Conor Vayal Stadium in Tellicherry.
Resuming the day at 273 for four, Services rode on Samson's 264-ball knock to put up a good total on the board.
Samson hit 27 boundaries and four sixes during his 404-minute stay at the crease.
Suraj Yadav was the best bowler for Services, returning figures of 5/94.