His brother, Cav. Proc. Federico Prospero Cornaro (H-31) commissioned Baldassare Longhena and Giusto LeCourt to execute an elegant funeral monument in his honor. The monument, erected 1674 in the church in Padua known as the Santo, reads [subject to possible errors in transcription]:

D. O. M. Caterino Cornelio Qui Cretensi bello Andrea Parentis summi Ducis impressa sanguine vestigia insistens, omnes honorum gradus emensus Dalmatia, deinde Crete cum summa Potestate Legatus, triennium obsessa metropoli, manu, consilio, exemplo, mutantia fata, et summum Urbis diem moratus est, sed dum in propugnaculo maxime nostibus infesto, dies, noctesque exubat, olla incendiarie fulmine, Cello assertus est Insularum nobilissime una in Cineres colaose rogo funeratus Federicus Cornelius Frati incomparabili hoc monumentum pasuit anno 1674.