The result was the first drawn game in Galle for 12 years.
Spinner Taijul Islam picked up a five-wicket haul to give Bangladesh the upper hand against Zimbabwe on Day 1 of the second Test.
Ravindra Jadeja continues to reign supreme at the top of the ICC Men's Test Player Rankings for all-rounders, but his lead has narrowed following a stellar performance from Bangladesh's Mehidy Hasan Miraz.
The Bangladesh Cricket Board named a 16-member squad for the India tour, on Thursday.
Middle order batsman Mehidy Hasan Miraz led a Bangladesh fight back with an unbeaten 87 on the third day of the first Test against South Africa on Wednesday to turn a precarious position into a tight contest.
India would want their big guns Virat Kohli and Rohit Sharma to fire when the mighty hosts aim for a clean sweep against a beleaguered Bangladesh in the second and final Test starting in Kanpur on Friday.
Shakib Al Hasan is set for his last appearance in Test cricket in front of the home crowd as the venerable all-rounder was named in Bangladesh's squad for the first match against South Africa, starting in Dhaka on Monday.
Head coach Jason Gillispie said Shaheen Afridi understands the "situation" and the break will give him quality time with his family.
India's 40-4 (win-loss) home record in the last decade is awe-inducing but there is an ever-little crack, which is getting more pronounced in the past three years, particularly in the case of star batter Virat Kohli.
Bangladesh are looking to complete a sweep after winning the opening match of the two-Test series by 150 runs in Sylhet.
Left-arm spinner Taijul Islam claimed a match haul of 10 wickets to bowl Bangladesh to a comprehensive 150-run victory against New Zealand in the opening Test in Sylhet on Saturday.
Suryakumar strengthens top position in ICC T20 batter rankings
Then, physio Patel came down to the crease to attend to Bangladesh's lower-order batter.
Bangladesh effectively batted the tourists out of the match when they declared on 560-6 with a handsome lead of 295 runs.
Bangladesh A's tail wagged vigorously to prevent India A from winning the first unofficial Test match in Cox Bazar on Friday.
India's Ravindra Jadeja also remained on top of the all-rounders' table.
Afghanistan extended their lead over Bangladesh to 374 at the end of play on day three of the One-off Test
Mayers added 216 runs with Nkrumah Bonner (86) to turn the match on its head
India's pace trio took less than three hours to rout the tourists after Mominul Haque's decision to bat backfired.
Rahmat Shah became the first cricketer from Afghanistan to score a century in Test cricket, during the one-off Test against Bangladesh, in Chattogram on Thursday.
Bangladesh were pressed into Day/Night Test at a very short notice
Das was retired hurt after being hit on his head at the stroke of lunch at the Eden Gardens
Australia's Steve Smith is back on top of the list of batsmen in the MRF Tyres ICC Test Player Rankings after India captain Virat Kohli could manage only 21 runs in his two innings in the first Test against New Zealand in Wellington, which his side lost by 10 wickets to concede a 1-0 lead in the two-match series. This is the eighth time that Smith is on top of the rankings after first occupying the top position in June 2015.
Smith's player of the match effort of 211 and 82 runs in the two innings has lifted him to 937 rating points, only 10 less than his all-time best aggregate achieved in December 2017.
Umesh Yadav struck three times as India took less than an hour on day three to complete formalities and bulldoze Bangladesh by an innings and 46 runs in the second and final Test for a 2-0 series sweep.
BCB named Mahmudullah as the T20 captain, while Mominul will lead the Test side during their much-anticipated tour of India
Ishant Sharma and his pace colleagues wreaked havoc with the pink ball to put India in charge of their maiden day-night Test against Bangladesh at the Eden Gardens in Kolkata.
"Our heartfelt condolences go out to the families and friends of those affected by the shocking situation in Christchurch. A joint decision between NZC and the @BCBtigers has been made to cancel the Hagley Oval Test. Again both teams and support staff groups are safe," the New Zealand cricket board tweeted on their Twitter handle.
India would have in mind the loss they endured against Bangladesh that knocked them out of the Asia Cup in Kuala Lumpur last November.
Ganguly convinced the Bangladesh Cricket Board to agree to a Day/Night Test just a few days before their team was to land in India.
Bangladesh, who were shot out for 106 in their first essay, were reduced to 13 for four at one stage but the visitors ended the second day at 152 for six, courtesy a combative half-century from Mushfique Rahim (59 batting) and Mahmudullah, who retired hurt after scoring 39.