Melancholy

It's a grey, rainy day, and Hermione Granger sits at a window, in a melancholy mood. Draco Malfoy is wandering the halls of Hogwarts after his first failed attempt on Dumbledore's life. They are both intelligent people- what would a civil conversation between them change? If a pureblood can put aside his prejudices and a muggleborn her pride, what would the result be?