From Longman Dictionary of Contemporary Englishbe filled to overflowing (with something)be filled to overflowing (with something)to be completely full One wall was filled to overflowing with books. → overflow
Examples from the Corpus
be filled to overflowing (with something)• For the moneyed and the merely curious, stalls and kiosks were filled to overflowing.• For the remainder of that summer churches were filled to overflowing and numerous conversions took place. 