Sangakkara and Jayawardene, both former skippers, told reporters at the airport there were serious disagreements about their retirement from T20 cricket.
Jayawardene said his remarks to a local newspaper, that the tournament may be his final T20 appearance, had been taken as notice of his intention to retire, and based on that he had been criticised by a cricket board official.
"I am disappointed and hurt that an official went public criticising us without first asking us whether we actually made those remarks," he told reporters shortly after landing.
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"I agree with what he says," Sangakkara added.
Both said they had been uncertain whether they would play in the World T20 tournament until a few hours before they were due to leave for Bangladesh.