Nathan McSweeney has rebounded from his Test axing to inspire Brisbane to a last-ball BBL victory over Adelaide with a brilliant unbeaten 78.

McSweeney was devastated at being dropped from Australia's side for the Boxing Day Test but the 25-year-old got the Heat home in an innings of composure and character on Sunday.

"If there's ever a place to come back to after getting some bad news it's here with family and some of the boys I grew up playing with," McSweeney told ABC Sport. 

"As much as it's not ideal, it's a nice place to be for Christmas with family and friends."

Brisbane spinner Mitchell Swepson hit the final delivery of the run-chase off Liam Scott for a single over point to secure a three-wicket win, but the hero was McSweeney.

After being put under the cosh by India spearhead Jasprit Bumrah in the Test series, he found himself in a high-pressure run chase after the Strikers had posted 6-174.

McSweeney took 16 runs off the second over of the power surge, off Henry Thornton, and celebrated with a six off Matt Short in the next before guiding the Heat to victory.

"That's a good feeling, no doubt," McSweeney said.

"It's always nice to contribute to a win after a pretty hectic week, to say the least.

"It's pretty simple, cricket — and batting in particular. Runs are currency and no doubt I've just got to put my head down, learn from my experiences and punch out some big runs. Hopefully, I'll be more than ready for my next opportunity [for Australia]."

McSweeney received a huge cheer from the 23,681 fans at the Gabba when he came to the crease and initially played second fiddle to a rampant Matt Renshaw.

Renshaw (54 off 27 deliveries) was in scintillating form with his placement, power and purpose all elite.

He launched three sixes over the on side and an assortment of exquisite cuts and drives before flicking a Lloyd Pope delivery onto his shoulder and then the stumps.

His 66-run partnership with McSweeney for the third wicket off just 39 deliveries got Brisbane back in it.

Earlier, Strikers paceman Thornton bowled Jimmy Peirson (eight) in his first over but then dropped a sitter at mid wicket when Heat skipper Colin Munro skied one off Jamie Overton.

Thornton made amends immediately when he cleaned up Munro (seven) with the first ball of his next over.

The Strikers' English contingent of Ollie Pope and Overton fired with the bat to lift the visitors to a competitive total.

Overton hit hard and often in the latter overs in his unbeaten 45 off 24 deliveries.

At 196cm, the all-rounder has a long reach and immense power and he utilised both to put the hosts' bowlers off their length and crunch three sixes.

Pope (34 off 28), fresh from two half-centuries in the Test series against New Zealand, started with consecutive boundaries off rookie seamer Tom Whitney before holing out to McSweeney in the outfield.

Heat paceman Xavier Bartlett gave his side the perfect start by snaring D'Arcy Short (one) in the first over.

That brought former Gabba favourite Chris Lynn to the wicket and the ex-Brisbane champion opened his account with his 209th BBL six, a cracking flick over mid wicket. Lynn (24) was well caught attempting his 210th at long on by Bartlett.

Impressive 22-year-old paceman Will Prestwidge (2-16) hit the pitch hard and picked up the key wickets of Pope and Lynn.

AAP