I know it’s a long shot but we’re heading to Rome and I’m planning to buy a Murano glass vase while we’re there. Does anyone have any recommendations on where to purchase? Any favorite stores in the city? Would I get better prices and quality at the airport? Thoughts on what else I should look at purchasing while in Rome? Thank you!

A quick google search revealed a store called Murano Piu not far from the Piazza Navone.

Look for the trademark that verifies the piece was made on Murano. You may also be given a certificate of authenticity.

http://www.muranoglass.com/en/#.WrZ5JsKovIU

If you plan to buy original Murano Glass pay attention, because chinese replication are more and more frequent. Also check if there is the sign of the Glass Master that handcrafted it.
If you are too late, you can also buy original murano glass online, most of the website deliver worldwide and they take all attention to deliver it with safe delivery box.
I like, for example, MadeMuranoGlass.com