A device receives a call invitation message with a Session Description Protocol (SDP) offer for establishing a call between a calling party and a called party and obtains a set of network fallback rules associated with the called party. The device determines, based on the set of network fallback rules, whether to reject the call and avoid network fallback from a first wireless network to a second wireless network. The device sends, based on the determination, a call denial message without an SDP answer, to reject the call and avoid the network fallback.