Asalanka was stripped of the captaincy in the 50-format in May while he was dropped from the T20I side altogether earlier this year.
Kusal Mendis will continue to captain both Sri Lanka's white-ball sides while former vice-captain Kamindu Mendis has been retained in both squads.
Dasun Shanaka returns to the ODI group following an absence of more then two years, while leg-spinner Sachindu Colombage has received a maiden call-up.
The rest of the squads were named as expected, with Pathum Nissanka and Kusal fit again after their lay-off periods through injury.
Sri Lanka ODI squad: Pathum Nissanka, Kamil Mishara, Kamindu Mendis, Charith Asalanka (vc), Kusal Mendis (c), Janith Liyanage, Pavan Rathnayake, Dasun Shanaka, Wanindu Hasaranga, Dunith Wellalage, Maheesh Theekshana, Sachindu Colombage, Dushmantha Chameera, Eshan Malinga, Asitha Fernando, Dilshan Madushanka.
T20I squad: Pathum Nissanka, Kamil Mishara, Lahiru Udara, Kusal Mendis (c), Kamindu Mendis, Charith Asalanka (vc), Janith Liyanage, Dasun Shanaka, Dunith Wellalage, Wanindu Hasaranga, Maheesh Theekshana, Tharindu Rathnayake, Dushmantha Chameera, Eshan Malinga, Nuwan Thushara, Binura Fernando.
India captain Shubman Gill believes his side can take plenty of positives from their 1-0 Test series win in Sri Lanka, despite disappointment at missing out on a clean sweep after the hosts fought back to draw in Colombo.
The Sri Lankan lower order were stoic as they forced a memorable draw on day five of the second Test against India in Colombo on Thursday.
India remained firmly in control of the second Test against Sri Lanka on Day 3, leaving the hosts battling to avoid the follow-on.
Dhruv Jurel struck the second Test century of his career as India strengthened their grip on the second Test against Sri Lanka.
