The decision comes two weeks Indian Prime Minister Manmohan Singh and his Pakistani counterpart Yousuf Raza Gilani watched together as their respective teams played in the semi-final of the Cricket World Cup in northwest India.
Several Indian newspapers cited unidentified government sources as saying the question of precisely when and where the first cricket series between the rivals might take place would be decided by the two national cricket boards.
Although the Indian and Pakistani cricket teams have played each other in international and regional tournaments in recent years, the last series was held in 2007-08, when the Pakistani team visited India.
The Mint newspaper quoted one government source as saying India's cricket team would tour Pakistan next year, with a return series in India the year after.