Hinojosa, who arrived on Sunday, held formal talks with Prime Minister Manmohan Singh after which the two sides signed agreements on extradition treaty and mutual legal assistance in criminal matters.
The signing of agreements paves the way for stepped up cooperation in the fight against global terror.
The extradition treaty is aimed at suppressing crime by ensuring availability of fugitive criminals for trial while the mutual legal assistance treaty in criminal matters will enhance the effectiveness of cooperation in the investigation, prosecution and suppression of crime, including those related to terrorism.
Hinojosa, who is leading a large official delegation and a business delegation of over 100 members, will also visit Bangalore and Mumbai on Tuesday.
External Affairs Minister Pranab Mukherjee, Leader of the Opposition L K Advani and UPA Chairperson Sonia Gandhi will also call on President Calderon.