Thanks everybody. my last thought in my original query (that it may be an anime) turned out to be true.
Here's the scene in question:
Until "The Last Leaf" has fallen; that should come in a few days or so now.
P.S. This is the abridged story of the "great sacrifice":
In the original story, they were girls, not a boy and girl.. They were artists, actually.. One of them was suffering from pneumonia.. When this sick girl was losing her will to live, her friend approached their neighbor, also a great painter, (they're living in an apartment) to ask for some help.. Then as the leaves on the vines fell one by one, the sick girl continuously said that if the last leaf on the vine would fall, she'll die.. So one night, after the last leaf had fallen, their neighbor painted a leaf on the broad side of the house.. taking painstaking hours to complete the painting in the dead of the night.
The next few days, the sick girl, seeing the "leaf" still hanging from the vine from her window, realized that she was not meant to die and chose to continue living.. They later learned that their neighbor died of pneumonia.. The neighbor (a troubled artist himself) got it when he was painting (it was snowing heavily) his greatest masterpiece, the last leaf..