He said the two countries were working closely in plurilateral and multilateral formats and he was looking forward to 2+2 dialogue between the two countries on Tuesday.
"Warm and productive meeting with @SecPompeo. Discussed key bilateral, regional and global issues. Reviewed progress in ties grown substantially in every domain. Our foreign policy consultations and cooperation have expanded," Jaishankar said.
"Working closely on plurilateral and multilateral formats. Looking forward to the 2+2 Dialogue tomorrow," he added.
The meeting between the two leaders came after Defence Minister Rajnath Singh held talks with US Defence Secretary Mark Esper.
Both Pompeo and Esper arrived here on Monday to take part in the third 2+2 dialogue between the two countries.
Pompeo said he was pleased to be back in New Delhi for constructive meetings including the 2+2 Ministerial Dialogue.
"Pleased to be back in New Delhi for constructive meetings, including the U.S.-India 2+2 Ministerial Dialogue with Indian Foreign Minister @DrSJaishankar, U.S. Secretary of Defense @EsperDoD, and Indian Defense Minister @rajnathsingh. Looking forward to productive discussions!" he said in a tweet.
Mark Esper also tweeted about his arrival in India for the dialogue.
"Happy to touch down in the world's largest democracy. Thanks to Air Vice Marshal Alok Sharma and Ambassador Kenneth Juster for the warm welcome," he said.