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"Mahela has sent a letter stepping down from vice captaincy. The officials would soon meet to discuss a replacement," Sri Lanka Cricket chairman DS de Silva said.
The national selection panel -- headed by Aravinda de Silva and comprising Ranjith Fernando, Amal Silva and Shabbir Asgerally -- has also offered its resignation to Sports Minister Mahindananda Aluthgamage, officials said.
Yesterday, Sangakkara had said that he was leaving the job to enable Sri Lanka find a suitable successor leading to the 2015 World Cup in Australia and New Zealand.
Jayawardene, who was previously captain, has been Sangakkara`s deputy since 2009. De Silva`s selection panel was appointed in May 2010.
His panel has come in for severe criticism when Sri Lanka loss to India in Saturday`s World Cup final.