A phrase used to request something, for example if a statement was not heard.
A phrase used to express an apology for an action.
A phrase used to ask for clarification of something said if it is unexpected, odd or seen as rude without context.
Source: en.wiktionary.orgI beg your pardon if I've hurt your feelings." Source: Internet
I beg your pardon if such site exists - perhaps i just missed it? Source: Internet
I beg your pardon for my out loud contemplation on the eve of 27th year of our nation’s independence. Source: Internet
Immediately, he would go looking through the folders until he found the name and then he would say, "I beg your pardon, he's safe and sound, working at his job." Source: Internet