Context. HIP 96515 A is a double-lined spectroscopic binary included in the SACY catalog as a potential young star. It has a visual companion (CCDM 19371-5134 B, HIP 96515 B) at 8. 6. If bound to the primary, the optical and infrared colors of this wide companion are consistent with those of a white dwarf. Aims. We attempt to characterize the system HIP 96515 A&B by studying each of its components. Methods. We analyzed spectroscopic and photometric observations of HIP 96515 A and its visual companion, HIP 96515 B. To confirm the system as a common proper-motion pair, we analyzed the astrometry of the components using high-angular resolution infrared observations obtained within a time span of two years, and archival astrometry. Results. The high-resolution optical spectrum of HIP 96515 A was used to derive a mass ratio, M 2 /M 1 , close to 0.9. The optical lightcurve of HIP 96515 A shows periodic variations with P orbital = 2.3456 days, revealing that HIP 96515 A is an eclipsing binary with preliminary orbital parameters of i = 89.• 0 ± 0.• 2, and M 1 = 0.59 ± 0.03 M and M 2 = 0.54 ± 0.03 M , for the primary and secondary, respectively, at an estimated distance of 42 ± 3 pc. This is a new eclipsing binary with component masses below 0.6 M . Multi-epoch observations of HIP 96515 A&B show that the system is a common proper-motion pair. The optical spectrum of HIP 96515 B is consistent with a pure helium atmosphere (DB) white dwarf. The comparison with evolutionary cooling sequence models provides T eff,WD = 19 126 ± 195 K, log g WD = 8.08, M WD /M = 0.6, and a distance of ∼46 pc. The estimated WD cooling age is ∼100 Myr and the total age of the object (including the main-sequence phase) is ∼400 Myr. Finally, if HIP 96515 A&B are coeval, and assuming a common age of ∼400 Myr, the comparison of the masses of the eclipsing binary members with evolutionary tracks shows that they are underestimated by ∼15% and 10%, for the primary and secondary, respectively.