The trustees failed to decide on commitments in a non-core real estate search after opposing motions that followed finalist interviews.
The district last conducted a search for services in 2018.
The firm has closed THL Equity Fund X with $6.35 billion in investable capital.
The firm recently added an institutional client advisor from Lazard Asset Management.
The plan will interview three firms in a domestic small-cap value equity manager search next month.
The city is seeking investment management and advisory services to provide discretionary services for its $25 million investment portfolio.
The pension fund launched a search for managers earlier this year.
The firm added a senior managing director and head of consultant relations from a real estate investment firm.
Crescent Cove Fund IV was oversubscribed and with support from a diverse base of institutional investors.
The plan also added a pair of commitments to a new private equity manager relationship.