The BBC alleges the man in question is net bowler Gayan Vishwajith, who has been banned for life from cricketing premises in Sri Lanka.
"Sri Lanka Cricket has received several complaints regarding a close acquaintance of Anusha Samaranayake with the main suspect Gayan Vishwajith, who had approached several national players for the alleged illegal activities of match-fixing," said a board statement.
Police have also taken statements from captain Angelo Mathews and team manager Jeryl Woutersz.
The International Cricket Council began an investigation following a complaint by Perera, who exited the New Zealand tour after failing an out-of-competition drugs test in October. He faces a four-year ban over that incident.
Jayasekera indicated the team will also be investigated for partying on the New Zealand tour, in which they lost the test, one-day and Twenty20 series.
"They have not only attended drinking parties until three and four in the morning, but there was a lot of tension and friction among members," Jayasekera told AFP.
"When they return, I want to call the team and along with Thilanga [Sumathipala, new Sri Lankan cricket president] try to find out what happened.
"My main concern is the breakdown in discipline. When that is affected, the team naturally performs badly," he said.