Phillip really came up with some clutch plays when things got close.'
Kohlschreiber broke Somdev twice in the first set even as the Indian wasted four of his five break point chances.
The German took the second set with a break of serve before Somdev came out firing and raced through the third set in just 29 minutes.
Kohlschreiber used all his experience to recover from the setback and wrap up the match in the next set, breaking Somdev twice.
However, there was good news for India in doubles. Sania Mirza progressed to the second round in women's doubles and mixed doubles. Also clearing the first round hurdle, were Mahesh Bhupathi in men's doubles and Leander Paes in mixed doubles.
After being blanked out by Italian Flavia Pennetta in singles second round, Sania, playing with Francesca Schiavone of Italy in doubles was in a spot of bother before winning her match against Belarussian Ekaterina Dzehalevich and Czech Renata Voracova.
But Sania and Schiavone, seeded 14th, rallied from a set down to beat Dzehalevich and Voracova 5-7, 7-5, 6-1 in an encounter that lasted two hours and 19 minutes.
Sania then turned up for the mixed doubles event on the same court with her new partner Daniel Nestor of Canada and the pair took just 40 minutes to dispatch Akgul Amanmuradova of Uzbekistan and Australian Ashley Fisher 6-3, 6-1.
It was not so easy for Paes and Cara Black of Zimbabwe in their first mixed doubles match. The second seeded pair were stretched by Patty Schnyder of Switzerland and Wesley Moodie of South Africa before they survived 6-4, 3-6, 11-9 in 70 minutes.
Paes and Black will face Itallian Flavia Pennetta and Serbian Dusan Vemic in the second round.
In men's doubles third seed Bhupathi and Mark Knowles of Bahamas coasted to a 6-3, 6-4 win over James Cerretani of the US and Lovro Zovko of Croatia. They will next meet American pair Jesse Levine and Ryan Sweeting.