A thermally conductive adhesive composition includes a powder of a high melting point metal or metal alloy, a powder of a low melting point metal or metal alloy, and a polymerizable fluxing polymer matrix composition having a polyepoxide polymer resin and a low-melting solid or liquid acid-anhydride and a polymer diluent or diluents with carbon carbon double bonds and/or functional hydroxyl groups. The ratio by weight of the low melting point powder to high melting point powder ranges from about 0.50 to about 0.80, and may range from about 0.64 to about 0.75, and may be 0.665. Heretofore unpredicted substantially higher thermal conductivity improvements in performance have been found using these ratios of low melting point powder to high melting point powder.