Galadari has filed a matrimonial suit in the family court, claiming a compensation from Sami. She has also sought possession of the flats, saying that Sami had gifted them to her in 2008.
Sami filed the appeal last month, following which the High Court had stayed the family court's order till June 10.
The family court on April 5 had ordered Sami to pay Galadari Rs 5.3 crore towards repayment of the money she had given him between 2007-08, Rs 1 crore as a domestic violence compensation, Rs 10 lakh as belated 'mehr' and Rs 1 lakh for litigation costs.
The court had also asked the singer to hand over his five flats in Lokhandwala area of suburban Andheri to Galadari.
ED had objected to Sami's purchase of property in India without RBI's permission, he being a foreign national.
Sami and Galadari married in 2001 and got divorced in 2004. They re-married in 2007, and again got divorced in 2012.