In the present work, a new extension of two-variable Fubini polynomials is introduced by means polyexponential function, which called type 2 poly-Fubini polynomials. Then, some useful relations including Stirling numbers second and first kinds, usual polynomials, higher-order Bernoulli are derived. Also, summation formulas an integral representation for investigated. Moreover, unipoly-Fubini ut...