Kohlberg Kravis Roberts & Co. failed to reach an agreement with bankers in charge of financing the buyout shop’s $26 billion takeover of First Data Corp., and negotiations will resume next week, a person familiar with the talks said.

The New York-based private equity firm has been meeting with bankers from Credit Suisse Group and Citigroup Inc. since Monday, said the person, who spoke anonymously because they were not authorized to speak publicly on the matter.