All I can remember about this movie is that an art student struggles to find a medium, then he murders woman and paints them as they die (or their face in death). The police think it's a serial killer and starts to search. The man is then caught as he puts the one woman's license card in one of the paintings. I can't remember when the film was made, but was on television around 2010.
It sounds rather a lot like the plot from Art School Confidential. Came out in '06.
Paraphrased from Wikipedia's plot synopsis:
Plus some screenshots of the paintings in question: