Hi,
Here is a Update List of Foreign Banks in India
Though all the available foreign banks have their global websites, but only following foreign banks have India, specific pages or websites which is more than just providing contact addresses.
Total List of Available Foreign Banks in India
ABN-AMRO Bank N.V.
Abu Dhabi Commercial Bank Ltd.
American Express Bank Ltd.
Barclays Bank PLC
BNP Paribas
Citibank N.A.
DBS Bank Ltd
Deutsche Bank AG
HSBC Ltd.
Standard Chartered Bank
State Bank of Mauritius Ltd.