It absolutely does! I use an M11 alienware (biggers screens were too much expensive).
I can run every game I tried (CMx1, CMx2, FallOut 3, Silent hunter 5, SWTFU, Mount&Blade: Warband, DawnOfWarII, PanzerCommandOstFront, etc). I play CMBN without any trouble, I can play with "better" or "best" graphical setup, but usually I play in "balanced".