Novel data from the K(stop)(-)A absorption reaction in light nuclei Li-6,Li-7 and Be-9 are presented. The study aimed at finding Lambda t correlations. Regardless of A, the Lambda t pairs are preferentially emitted in opposite directions. Reaction modeling predominantly assigns to the K(stop)(-)A -> Lambda t(N)A' direct reactions the emission of the Lambda t pairs whose yield is found to range from 10(-3) to 10(-4)/K-stop(-). The experiment was performed with the FINUDA spectrometer at DAONE (LNF). (C) 2008 Published by Elsevier B.V.