The authority launched a search in May for its investment portfolio.
The firm raised $28 million in the first close of its venture fund, which is anticipated to raise $100 million total.
PSG Equity announced the final close of its second Europe-focused fund with more than €2.6 ($2.9) billion in commitments.
The city maintains a $157 million investment portfolio of operating and capital funds.
The interviews follow searches conducted after approval of a new asset allocation mix this year.
The plan began a search for investment advisor services for its $34 million fund in June.
The plan began a search last November that was canceled earlier this year.
The city is looking for an advisor for its roughly $150 million in operating and capital funds.
The firm raised $9.7 billion in aggregate capital commitments across the two funds.
The plan’s private markets committee will recommend the commitment at a board meeting later this month.