Three-dimensional string theories with 16 supersymmetries are believed to p
ossess a non-perturbative U-duality symmetry SO(8, 24, Z). By covariantizin
g the heterotic one-loop amplitude under U-duality, we propose an exact exp
ression for the (partial derivative phi)(4) amplitude, that reproduces know
n perturbative limits. The weak-coupling expansion in either of the heterot
ic, type-II or type-I descriptions exhibits the well-known instanton effect
s, plus new contributions peculiar to three-dimensional theories, including
the Kaluza-Klein 5-brane, for which we extract the summation measure. This
letter is a post-scriptum to hep-th/0001083.