World Bank country director Michael Carter, India's executive director to the Bank, C M Vasudev and economic affairs secretary Rakesh Mohan were also present at the meeting, which lasted for more than half-an-hour.
Singh is understood to have apprised Wolfensohn of the economic scenario in India and the need for World Bank support in infrastructure and social sectors.
The meeting assumes significance in the wake of UPA government's thrust on infrastructure sectors for spurring growth and the need for stepping up multilateral funding.
Wolfensohn had met President A P J Abdul Kalam on Thursday and Finance Minister P Chidambaram on Wednesday. He had also met Planning Commission deputy chairman Montek Singh Ahluwalia on Thursday.
During the meeting with the Planning Commission, senior officials of the ministries of power, railways, roads and water resources made detailed presentations before the World
Bank chief and projected the funding requirements from the bank totalling $19 billion over the medium to long term in their respective sectors.
Although Wolfensohn said the World Bank was prepared to extend $9 billion in the next three years or $3 billion annually, a senior government official said the requirement was higher - at least $4 billion annually.