Aziz greeted Swaraj warmly and both engaged in a brief conversation. Aziz later sat next to Swaraj.
Swaraj arrived here on a two-day visit, primarily to attend the 'Heart of Asia' 5th Ministerial Meeting on Afghanistan tomorrow.
She will hold talks with Aziz and call on Prime Minister Nawaz Sharif on the sidelines of the conference tomorrow.
The fifth 'Heart of Asia' conference, an annual gathering of Asian and other countries, is aimed at enhancing cooperation for countering security threats and promoting connectivity in the region.
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After arriving here, Swaraj said relationship between the two countries should be better and that she will hold talks with Pakistani leaders to find ways to improve bilateral ties.
"I have come with the message that ties between the two countries should be good and move forward," said Swaraj.
Swaraj's visit comes after talks between the National Security Advisors of India and Pakistan in Bangkok on Sunday, where they discussed terrorism, Jammu and Kashmir and a range of key bilateral issues apart from agreeing to carry forward the "constructive" engagement.