The 'Real Girl' singer has hit out against Heidi insisting she has no plans to make contact with her since Mutya's fellow founding member Keisha Buchanan was ousted from the group this year.
Mutya - who was in the ever-changing pop trio with Heidi and Keisha from 2001 to 2005 - wrote on twitter: "To all those asking - no I haven't spoken to Heidi and i (sic) don't ever plan to."
Mutya, 24, also claimed she would like to work with original Sugababes members Keisha and Siobhan Donaghy again.
She wrote: "No, the real Sugababes are not reforming but we all respect one another and i (sic) personally hope to work with both Keisha and Siobhan sometime in the future. Love them both and will always treasure my time in the group but we r (sic) all focusing on doing our own thing now."
Twitter has proved to be a popular medium for the Sugababes to communicate with their fans, with Keisha taking to the micro-blogging site when she was forced out of the band in September.
She wrote at the time: "I'm sad to say that I am no longer a part of the Sugababes, although it was not my choice to leave, it's time to enter a new chapter in my life."