If I counted correctly, we seem to have a cap of 196 of the same item being placed in a large house (have no idea if that limit varies by house size or is the same for all). I was placing another Oasis Vase just to get the following error message:

"You cannot place any more of that indoor furnishing."

It caught me totally off guard. I had no idea there was such a limit. I had thought at first that maybe the interactive furnishing limit that used to exist had only been increased to an amount that SE didn't think any player would reach but I was able to switch to and place Glade Vases without an issue. Try another Oasis Vase and the error would occur again.

This shouldn't be a problem for any but someone trying to create unique builds that require the same item to be used a very large number of times.