Swaraj is currently on two-day visit to Pakistan to attend 5th Ministerial Conference on Heart of Asia Istanbul Process.
"I have come with the message that ties between the two countries should be good and move forward," Swaraj said after her arrival in Islamabad, reported Nation.com.pk.
EAM was warmly greeted by Aziz at a dinner hosted by him in honour of the visiting delegates of the Heart of Asia conference.
Ahead of his meeting with Swaraj, Aziz said, "My expectations are good and positive from talks."
Swaraj, who reached Islamabad on Tuesday said, the relationship between India and Pakistan should be better and that she will hold talks to find ways to improve bilateral ties.
Sushma Swaraj's Pakistan visit takes place after the National Security Advisers of India and Pakistan met in Thai capital Bangkok on Sunday and "agreed to carry forward the constructive engagement".
Swaraj is expected to take this process forward during her talks with Aziz.