The contract for the two-storey home was inked on January 24, according to RadarOnline, just days before the pair’s marriage was officially dissolved.
The pad was directly next door to a $6.8 million property bought in 2014 by Aussie, Liam, which was also destroyed in the fire.
After the devastating event, the pair took to social media to share a heartbreaking before and after picture of the home, with only a “love” sign left among the rubble.
Last week it was confirmed that Miley and Liam had officially finalised their divorce.
The former A-list couple announced their shock split last August, just seven months after surprising fans by tying the knot.
According to TMZ a judge has finalised Liam and Miley’s divorce after they recently agreed a settlement.
Both stars have moved on to new relationships. Miley is currently dating Aussie singer, Cody Simpson, while Liam is currently dating model Gabriella Brooks.