  We develop a framework to derive consistency constraints on gravitational
Regge amplitudes based on the finite energy sum rules (FESRs), which directly
connect gravitational Regge amplitudes at a finite ultraviolet scale with
infrared physics without suffering from super-Planckian physics. For
illustration, we consider four-point scattering of an identical massless scalar
coupled to gravity. First, we derive multiple FESRs without relying on the
$s\text{-}t\text{-}u$ permutation invariance. We then make use of FESRs,
crossing symmetry, and other principles such as unitarity, to derive bounds on
the Regge parameters. The bounds result in infrared finite gravitational
positivity bounds in four spacetime dimensions.
