Sri Lankan officials said Wednesday they were in talks with the International Cricket Council's Pakistan Task Team (PTT) to explore the possibilities.
"We are still discussing the option with the ICC and with all the other board members," said Sri Lanka Cricket chairman Somachandra de Silva.
"There are still some security concerns in Pakistan but if things improve, and Pakistan is a brotherly nation, we can consider it - all depends on the ICC's clearance," De Silva said.
Sri Lanka are scheduled to tour Pakistan in October this year under the Future Tests Programme.
According to reports in the Pakistani media, the governments of both countries are already in talks to hold the series in Pakistan.
The attacks on the Sri Lankan team bus on March 9, 2009, killed eight people and injured seven Sri Lankan players as well as their assistant coach, leading to the suspension of all international cricket in Pakistan.
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Barely a month later, the ICC stripped Pakistan of its share of Wor