"Coxibs interfere with the action of aspirin by binding tightly to one monomer of cyclooxygenase-1" according to this PNAS 2009 paper: http://www.pnas.org/content/early/2009/11/18/0909765106.full
And "The concomitant administration of ibuprofen (...) antagonizes the irreversible platelet inhibition induced by aspirin" according to this NEJM 2001 paper: http://www.nejm.org/doi/full/10.1056/NEJMoa003199