The little milonga you posted is called "Milonga del Corazón". Your version is by the orchestra of Francisco Canaro and Roberto Maida is singing. It can be found on a CD called "Poema - Canta Roberto Maida - vol. 2" in the "EMI Reliquias" series.
This is a series edited in Argentina. If you want to buy it you can do so in the e-shop of Zivals. (Easy to find when you search for Zivals and tangostore) I often buy music at there store and I can tell you they can be trusted. And: It's very cheap, because of the Argentinian prices. Much cheaper than buying them elsewhere.
By the way, there is also a well known version of "Milonga del Corazón" by Juan D'Arienzo and singer Alberto Echagüe.