I beg your pardon.
Pardon/Excuse me, please.
Please forgive me/my son.
Please forgive me for forgetting your name/breaking the promise.
forgive sb for doing sth.
Please forgive him for my sake.
for one's sake
Please accept my apologies.
Can you forgive me?
Give me a break.
A: Excuse me, I didn't mean to step on your foot.
B: No problem, you're pretty light.
A: Can you forgive me?
B: I don't know, it's going to take some time.
A: Give me a break, it's not like I did it on purpose,
B: No. That's what you always say, then you just go ahead and do it again.
A: Please forgive my son for not finishing his homework. He's been very sick.
B: That's OK. Just have him turn it in by next week.