  We present a class of theories of two dimensional gravity which admits
homogeneous and isotropic solutions that are nonsingular and asymptotically
approach a FRW matter dominated universe at late times. These models are
generalizations of two dimensional dilaton gravity and both vacuum solutions
and those including conformally coupled matter are investigated. In each case
our construction leads to an inflationary stage driven by the gravitational
sector. Our work comprises a simple example of the `Nonsingular Universe'
constructions of ref. [1].
