waびるbiru
1.

To express sincere remorse for causing inconvenience or distress to someone and to seek their forgiveness.

2.

To recognize and acknowledge one's shortcomings or mistakes in a way that reflects genuine regret, often in a formal or respectful manner.

3.

To convey an apology, particularly in situations where the individual feels a deep sense of accountability and wishes to amend the situation.

Example:

その男は私の足を踏んだのにわびることさえしなかった。