let $a/f$ be an abelian variety over a number field $f$ and let $p \in a(f)$ and $\lambda \subset a(f)$ be a subgroup of the mordell-weil group. for a prime $v$ of good reduction let $r_v : a(f) \rightarrow a_v (k_v)$ be the reduction map. during my talk i will show that the condition $r_v (p) \in r_v (\lambda)$ for almost all primes $v$ implies that $p \in \lambda + a(f)_{tor}$ for a wide class of abelian varieties.