But Rajapakse reportedly made it clear that the final decision rested with the two boards. He said it was up to the boards of both the countries to sort out the dates and other intricacies for a tour.
"We are ready to take the initiative in this and will be happy if international cricket resumes in Pakistan," the newspaper quoted Rajapakse as saying.
No Test-playing nation has visited Pakistan since March 2009 when terrorists attacked the Sri Lankan team in Lahore killing six Pakistani policemen and a van driver.
Five of the visiting players were also injured in the incident while the reserve umpire suffered gunshot wounds.
The Pakistan Cricket Board has been trying hard to resume international tours in Pakistan without success as an invitation to the Bangladesh this year also didn't materialise.
The PCB has however given its consent to the sports minister in Sindh province, Dr Mohammad Ali Shah, to invite a World XI side to Karachi.
According to details, the World XI will play two T20 matches at the national stadium later this month against the Pakistan XI and is expected to include Sanath Jayasuriya, Andre Nel, Nicky Boje, Justin Kemp and some other foreign players.