Veto player models generally rely on two assumptions: (1) collective actors like political parties behave as individual actors; and (2) all actors influencing policy production are domestic. Yet these are often violated by empirical reality. Under certain institutions, parties are less cohesive and may not behave as individuals, and international regimes can have considerable influence over legislation. Using data on labor-law production in Europe, we find that the effects of veto players are conditional on both party cohesion and international regimes. Future conceptualizations of veto players should be more sensitive to both internal and external institutional configurations.