Presented herein are techniques to provide data session continuity for parallel data sessions involving a multiple Universal Subscriber Identity Module (MUSIM) user equipment (UE). In one example, a method may include obtaining an indication that session continuity for a first session associated with a first data network and a first USIM of a UE is allowed with respect to a second USIM in which the UE communicates first traffic for the first session via the first USIM. The method may further include determining that second traffic for a second session is to be communicated via the second USIM of the UE and, based on the indication that session continuity for the first session is allowed with respect to the second USIM, providing service information to the UE for the first session to enable the UE to communicate both the first traffic and the second traffic via the second USIM.