I imagine that at the moment of entanglement the wave function collapses and the quantum states of the 2 entangled particles will be set, so that there will be no superposition after the moment of entanglement.
So that what appears to us as magical link of the random states between two particles, is just a pre-determined correlated states with no random probability of states.
In this lecture the speaker claims that entanglement and measurements are same phenomenon: Google Tech Talk by Ron Garret.
So if we assume that entanglement and measurements are the same thing, then we can argue that wave function collapses at moment of entanglement.