Thermal conductivity κ of organic superconductor λ-(BETS) 2GaCl 4 have been studies on samples of varying quality as a function of temperature T, magnetic field strength H and angle of inclination with respect to the conducting plane Θ. The shape of H c2( T) phase diagram in parallel magnetic field is consistent with Pauli paramagnetic limiting in low quality samples, as supported by a jump-like anomaly in κ( H). In high quality samples the shapes of both the H c2( T) and κ( H) transform in a way consistent with the formation of Fulde–Ferrel–Larkin–Ovchinnikov state.