There is the brief scene afterwards where Bond is shown checking in on a sleeping Vesper. Bond's reputation in previous films would lead the viewer to suspect that they shared a bed...but the film makes it clear that they didn't.
After Bond is poisoned and Vesper saves him with the defibrillator, the very first thing he asks is if she's okay.
After Bond wins the game, when he and Vesper are in the restaurant, he tells her he knows what her necklace means and that whoever gave it to her is "a very lucky man". Given that the film's established that Bond pursues women to one-up other men ("You're not my type." "Smart?" "Single."), his implicit statement that he's not going to pursue Vesper any more and will respect that she loves someone else is very meaningful.
"I have no armour left. You've stripped it from me. Whatever is left of me—whatever I am—I'm yours." This is one of the very few times in the entire film series where you can un-ironically say: "Ohh, James..."
Despite a Darker And GrittierActionized take on the franchise, this is one of the very rare moments where Bond displays vulnerability humanizing him and making him relatable.
M's sincere inquiries into Bond's well-being after Vesper's death. He deflects them, but she's savvy enough to know that this is because he's hurting and she even tries to redeem Vesper in his eyes.