In order to assess the information that will be available from targets of the Microvariability and Oscillations of Stars (MOST ) satellite, we explore the possible evolutionary status and perform preliminary seismological analysis of two targets: the stars Ser and Leo, which show solar-like oscillations. Taking into account the astrometric observational constraints on the stars, we find that Ser is in the main-sequence phase of evolution, while Leo has two distinct solutions that match well with observations: main-sequence models and post-main-sequence models. The evolutionary tracks cover the following ranges of mass and initial metallicity: Ser, 1.15-1.20 M and Z = 0.0135 AE 0.003; Leo, 1.62-1.70 M and Z = 0.024 AE 0.002 (for values of the Galactic helium enrichment ratio ÁY/ÁZ in the range 0-2). By combining stellar models with observational constraints, we determine age ranges of 3.2 AE 0.6 Gyr for Ser and 1.7 AE 0.2 Gyr for Leo. The results show that the masses and ages of the stars are very sensitive to metallicity and evolutionary phase. Furthermore, we find that models with overshooting from a convective core predict a larger age for a given mass. Finally, we discuss future prospects for constraining stellar models with the help of asteroseismic observations.