Tasmanian Bell was arguably the pick of Gloucester's bowlers as they sealed a 10-wicket win, the first of the season after three-straight defeats, at Derby on Monday as his second-innings 3-44, following on from his first-innings 3-84, helped the visitors seal a comprehensive 10-wicket win in the second division clash.
It was a much-needed boost for the 33-year-old former Test opener Bancroft, who made sure he was at the crease on 19no as Gloucestershire didn't hang around, knocking off the 36 runs they needed in less than five overs with the threat of rain lurking.
The 30-year-old Bell was considered a good signature for Bancroft's side with his lively medium-to-quick stuff although he hadn't made a huge impression in his first two matches, taking only one wicket.
But three scalps against Lancashire in their last match promised more, and he was impressive throughout the match at Derby, kick starting their final-day challenge by digging one in that nightwatchman Ben Aitchison could only lob back to him for a return catch.
He also made a key late breakthrough, having Shoaib Bashir caught as the ninth man out by Bancroft at second slip amid some late resistance.
Elsewhere in the championship, with first division pacesetters Somerset not playing, Beau Webster's Warwickshire moved to the top of the table after a draw with reigning champions Nottinghamshire at Trent Bridge.
Kyle Verreynne made 115 as Nottinghamshire added 227 on the final day for the loss of three wickets, eventually declaring on 7-537 with a lead of 357. Webster finished with a pretty impressive innings-best 2-55 from his 23 overs.
Uncapped batter Emilio Gay gave his England hopes another boost as he steered Durham to a brilliant eight-wicket win over Lancashire in their first division clash with a match-winning unbeaten 159.
Gay has been touted as a Test contender and a second century in three games, alongside David Bedingham's 129no, will do his cause no harm.
Chasing 336 at Chester-le-Street with veteran great Jimmy Anderson in the Lancashire attack, Durham were 2-46 after losing both openers before Gay and Bedingham piled on an unbeaten 290 for the third wicket.
At Headingley, Joe Root added three wickets to his first-innings century but Yorkshire were unable to force victory over Sussex, with Tom Clark's knock of 93 helping secure a draw.
At the Oval, runs continued to flow with Tom Westley hitting 136 and Dean Elgar finishing 107 not out as Essex drew with Surrey.