And all I had to do was go one step further to find out for sure. According to all these websites, it is indeed "Por El Cabeza" by Carlos Gardel, lyrics by Alfredo Lepera.

A Tango FAQ
In Spanish
Info about the composer and composition
The lyrics
The music, its ownself (The 10th MIDI from the top of the page)

In addition to "Scent of a Woman" and "True Lies", it was used in "Schindler's List" and was evidently originally written for a movie about a horse player: thus, it's odd name (in English, "By a Nose").

BB,
NightWing