From Longman Dictionary of Contemporary Englishpush the pointpush the pointPERSUADEto keep trying to make someone accept your opinion in a way that they think is annoying → push
Examples from the Corpus
push the point• Even she could not push the point any farther.• She decided not to push the point any further, could see he had switched off.• If the customer pushes the point, he fights back. 