I was quoted a week... when mine was stolen in Spring of 2013 in Rome Termini. I asked if I could have it sent to the hotel on our next stop and was told No.
Since we had other cards with us, all with 0% forex fee, all have decent earning, I told Chase to send the replacement card to my home address a week before we flew home. I had to follow up with an SM when I did not see the card waiting for me when we returned home. They did not send it as promised.
I must say, the whole experience from reporting the incident to subsequent handling, is far less than desired. When I reported the incident it was a weekend and the rep could NOT stop the card because the system was updating....
She said she would send an email to the proper dept to handle it once the system update was finished. She did send it but the "proper dept" failed to act upon when I called back on Monday morning to find out the status.
When my husband lost his this past May. again in Italy but a small town near Venice, we did not bother to call Chase at all. We just went online to send Chase an SM to stop the card.
One thing I do learn is, the petty thieves in Europe do NOT try to use your cards whether they are CC or debit cards. They only aim for the cash in the wallets. None of our lost cards has ever incurred fraudulent charges, despite in each incident, the reports were 7 to 8 hours late after cards were gone. This is a much different experience than it is in US or Canada. People on TripAdvisor said that if you know exactly where your cards were stolen, search the trash cans nearby you might be able to find your wallet with only the cash gone missing...