We construct a class of viable bouncing models that are conformally related to cosmological inflation. There are three main difficulties in constructing such a model: (i) A stable (attractor) solution, (ii) A non-singular bounce, and (iii) to bypass the no-go theorem that states that simultaneously maintaining the observational bounds on the tensor-to-scalar ratio and the non-Gaussian scalar spectrum are not possible. We show that a non-minimal coupling of the scalar field helps to bypass these difficulties and provides a viable bouncing model with a naturally occurring reheating epoch briefly after the bouncing phase.

5 pages, 3 figures, accepted in Phys. Lett. B