The latter said that Pakistan and India must find "amicable and just solutions" to outstanding issues in order to ensure lasting peace and stability in the subcontinent.
Meira Kumar, who is leading an Indian parliamentary delegation, met Zardari after he inaugurated a conference of the Association of SAARC Speakers and Parliamentarians here.
Matters related to promoting SAARC's role in different fields‚ increased contacts between parliamentarians‚ regional issues and Pakistan-India relations were discussed during the meeting.
Meira Kumar was accompanied by Rajya Sabha Deputy Chairperson PJ Kurien, the Lok Sabha Secretary General and Indian High Commissioner Sharat Sabharwal.
Kumar told Zardari that she carried "everlasting impressions" from her bilateral visit to Pakistan in Feb, which was undertaken at the invitation of National Assembly Speaker Fehmida Mirza.
Zardari and Kumar emphasised the role of parliamentary interaction in promoting democratic values. They agreed that such interaction between India and Pakistan "contributes significantly to the efforts to improve the relationship between the two countries".
Zardari said Pakistan would continue to play a "proactive role" to make SAARC a vibrant organisation as regional cooperation is an "important engine of prosperity". He said South Asia has enormous potential and cooperation between India and Pakistan is imperative to exploit it.
Kumar conveyed to Zardari greetings and good wishes from the Indian President, Prime Minister, Parliament and people and told the President that she looked forward to welcoming the chairman of Pakistan's Senate to India in the coming weeks.
Earlier, Kumar proposed the name of her Pakistani counterpart Mirza and formally handed over the Chairpersonship of the SAARC Speakers' Council to her at a meeting of the body at Pakistan's National Assembly.
(with PTI inputs)