Davis Jr. sat on the bench during Texas' 65-64 win over Oklahoma State on Saturday. San Diego State was to play San Jose State later in the day.
In the documents, Davis is alleged to have received $1,500, and Pope $1,400 from ASM Sports.
A number of high-profile programs and current and former players were named in the report.
After Saturday's game, Texas coach Shaka Smart said Davis Jr. has been "advised to meet with legal counsel before talking to anyone."
"It will be thoroughly looked into by the University of Texas," Smart said. "Our job is to continue to support Eric as he goes through this process and then figure out what happened and move forward.
"We have a long haul ahead of us as a sport to figure out what the right thing is to do moving forward. There is no easy answer. There is no quick fix."
Davis is averaging 8.8 points and 2.4 rebounds for Texas (16-12). Pope has contributed 12.7 points and 7.1 rebounds per game to San Diego State (16-10).
A source familiar with the investigation -- which includes more than 4,000 conversations intercepted through wiretaps and financial records, emails and other records seized from the office of former NBA agent Andy Miller -- had told ESPN's Mark Schlabach that many of the sport's top coaches and players might be implicated, calling Miller's records "the NCAA's worst nightmare."
The FBI has been investigating college basketball bribes and corruption for at least two years.