The first Test will begin on Jan. 29 and the second will commence on Feb. 6. The teams will also meet in a One-Day International on Feb. 13 at an as yet unnamed venue.
Opening batsman Imam-ul-Haq stood unbeaten on 50 as Pakistan beat Sri Lanka by four wickets on the final day of the opening Test in Galle on Thursday.
Saud Shakeel hit an attacking century and, along with overnight partner Agha Salman, helped Pakistan take the lead against Sri Lanka on the third day of the rain-hit first Test on Tuesday.
Pakistan's Shaheen Shah Afridi claimed his 100th Test wicket on his return from injury in the first match against Sri Lanka in Galle on Sunday.
Sri Lanka's stunning victory over Australia in the second Test in Galle has had major ramifications on the race for next year's World Test Championship final.
Bangladesh left-handed batsman Soumya Sarkar took a DRS after getting bowled by Sri Lanka's Asela Gunaratne on the fifth day of the first Test in Galle.
With a heavy heart and a last backward glance at the majestic ramparts of the Galle Fort and the blue expanse of the Indian Ocean beyond, the Bangladesh media contingent in Sri Lanka bade farewell to the capital of Sri Lanka's Southern Province.
Rangana Herath grabbed six wickets in the second innings to become Test cricket's most successful left-arm spinner as Sri Lanka defeated Bangladesh by 259 runs in their first Test at Galle on Saturday.
It must be counted as a stroke of good fortune that a tourist's first stop in Sri Lanka is the seaside city of Galle.
At the end of an action-packed second day of the first Test, West Indies are 66 for 2, trailing Sri Lanka by 418 runs.
Sri Lanka and the West Indies look to offload past baggage and begin a new era with fresh young talent when a two-Test series starts in Galle.
India opener Shikhar Dhawan has been named captain of the A squad to play a three-day match against Bangladesh A in September.