I never noticed that one, but Universal is famous for that. I've seen Columbo props (and backdrops)used on McCloud, Banancek and even The Rockford Files.
I have mentioned this before, but Mrs Melville's portrait appears in an episode of "The Rockford
Files" called "Crack Back", but there she is
Mrs Harriet Bergstrom. Why not save a few bucks
on the props?...in the days before VCR's, who
would notice such things?
There is an interesting page on this topic in the Scrapbook section of this site...it is under the heading "Columbo Flashback". You should take a look at it. It lists a bunch of props and sets that were reused in different episodes.