As per your need here is the Bank of Baroda Customer Care Number

Bank of Baroda Toll Free Number: 1-800-224447 (General Inquiry India)
E-Mail: customerservice@bankofbaroda.com (For any query or complaint)
24 hours Customer Care Number: 022-22020728 / 1-800-225100

Debit Cards

Bank of Baroda Toll Free Number for Debit Card queries
Toll Free Customer Care Number: 1-800-220400
Fax No: 022-22027780
E-Mail: debitcard@bobcards.com

Net Banking

Bank of Baroda Online/Net Banking customer care Number
Toll Free Customer Care Number: 1-800-222227
Tel No: 022-67892816
E-Mail: barodaconnect@bankofbaroda.com

Credit cards
Bank of Baroda Toll Free Number for Credit Card queries
Toll Free Customer Care Number: 1-800-225110
Tel No: 022-22049979 / 22831945 / 22020630 / 22832827
Fax No: 022-22845239
E-Mail: crm@bobcards.com

Mail Address
Bank of Baroda
Baroda House, P.B. No.506, Mandavi,
Baroda-396006
Phone: (0265) 236 1852 (10lines)
Fax: (0265) 236 2395, 236 1824, 236 1806

NRI Customer Service

Bank of Baroda NRI Customer Service Mail: Intl-nri.bcc@bankofbaroda.com