Selectors led by Asantha de Mel, also included spinner Rangana Herath, but left out all-rounder Farveez Maharoof and spinner Ajantha Mendis.
For the T20 series, Sri Lanka recalled left-arm seamer Isuru Udana and leg-spinner Kaushal Lokuarachchi. Udana last played for the World T20 in 2009, while Lokuarachchi has not played since 2007.
Sri Lanka also plays three Tests with Pakistan that begins on June 22 and the squad for the series will be named later.
Twenty20 squad:Mahela Jayawardene, Tillakaratne Dilshan, Kumar Sangakkara, Dinesh Chandimal, Angelo Mathews, Lahiru Thirimanne, Kaushal Lokuarachchi, Thisara Perera, Nuwan Kulasekera, Sachithra Senanayake, Lasith Malinga, Chamara Kapugedera, Upul Tharanga, Isuru Udana.
One-day squad:
Mahela Jayawardene, Tillakaratne Dilshan, Kumar Sangakkara, Dinesh Chandimal, Angelo Mathews, Lahiru Thirimanne, Jeevan Mendis, Thisara Perera, Nuwan Kulasekera, Sachithra Senanayake, Lasith Malinga, Rangana Herath, Upul Tharanga, Nuwan Pradeep, Dilhara Fernando.