But it was not enough to earn them a place in the final, as young singer Beau Dermott and dance act Balance Unity claimed the two places on offer.
The result didn't go down well with their fans, who took to Twitter to express their disappointment.
Lucaya (@AliyahUkaye) tweeted: "Tumar KR & Bollywest Fusion were supposed to be in the final! Ugh! Wtaf Britain."
Karim Houssami (@karim_houssami) tweeted that Balance Unity was "kinda mediocre" compared with Bollywest Fusion, and Amy Leigh (@leighAmy95) said "Are you kidding me?!"
Bollywest Fusion had made it through to the live semi-finals after receiving yeses from all four judges in their audition , which was aired on Saturday (May 21).
Members of the group tweeted to thank members of the public for their support.
Dancer Yas Saskia tweeted: "Thank you so much for all your support. We got amaze comments from the judges & the public that's all that matters! #BOLLYWESTFUSION #BGT X"
Fellow member Jade Wijaya tweeted: "Thank you everyone who supported and voted for #BOLLYWESTFUSION tonight in BGT! So much love for you all!!!!"