We are interested in the dynamical behavior of two weakly coupled oscillators when the individual oscillators are located in between a subcritical Hopf bifurcation and a saddle node which stabilizes the unstable periodic branch generating from the subcritical bifurcation. The intuition tells us that the periodic trajectories of the system stay in a small neighborhood of the limit cycle. However, our numerical simulations show that there are three types of stable solutions: a pair of oscillators with large amplitude; a pair of oscillators one with large amplitude and the other with small amplitude; and the steady state itself.