Longman Dictionarytrespass on something = to unfairly use more than you should of someone else's time, help etc for your own advantage.
It would be trespassing on their hospitality to accept any more from them.
I can't see why is [hospitality] in the above sentence. It doesn't make sense there. I know the meaning of 'hospitality' but I can't understand the meaning of the sentence as a whole. [hospitality] makes me confused.
Would you please be kind enough to clarify the meaning of the whole sentence to me?