Firslty, as per the information provided by you in the present query, makes it clear that other party is violating the terms of the court.
Secondly, you do not have to file a fresh suit for the same as the decree is in itself an injunction till the time other party doesn’t get the stay on the execution proceedings in the appeal, but they have not done so.
Thirdly, I advice you to file an application before the same court where the suit wa decided as you can file even after the case is over under Order 39 2A application for the compliance of the decrees and to put stay from alienating the property or creating any third party interest in it.