  We propose a family of dilaton gravity models possessing bouncing solutions
with interiors connecting separate asymptotically flat regions. We demonstrate
that inner Cauchy horizons are stable given certain initial conditions. We
study causal structure and evaluate thermodynamic properties of black bounces
using Euclidean methods. Extremal bounces have zero temperature and can be
considered as remnants. We speculate that quantum fluctuations can dissolve
event horizons in case of black bounces providing a possible resolution to the
information paradox.
