Saying sorry is not always easy but it can bring an end to even the most intense of feuds. But nothing sucks more than a fake apology. A person who says sorry should mean what they say and say what they mean. And that would mean not committing the offence again.
Personally I have no issue in saying sorry when I have been at fault and I will also say it at times when I feel it will make peace between me and a loved one, specially those who will not otherwise initiate a "no hard feelings" pact. And as the saying goes when you have wronged another in order to guarantee God's forgiveness you need to gain your victims forgiveness first.