JPMorgan Chase & Co. retained 90% of First Republic's clients after buying the bank in a government-led auction earlier this year.
"A lot of the deposits came down rationally and over a very short period of time, but we still have relationships," Marianne Lake, the company's consumer and community-banking co-head, said at the Goldman Sachs U.S. Financial Services Conference Tuesday. "So we still have a lot of opportunity to talk to them about bringing more of their wallet back to the company."
First Republic became the second-largest bank failure in U.S. history in May, hobbled by a hole in its balance sheet brought on by rising interest rates.
Depositors fled, first in search of higher rates and then in fear after fellow California regional lender Silicon Valley Bank failed in March.