In 2010, Barclays used to pull a TransUnion in Florida, but currently they started to pull Experian in addition. Our 3 applications for US Airways MC were recorded in both Experian and TransUnion.
Another datapoint is that Citibank pulls 2 credit reports if applying for 2 cards simultaneously. I applied for ThankYou Premier card and for Hilton Visa, both were approved instantly, but there are 2 records on my Equifax report on the same day. Last year, for 2 Citi AA cards, there were only one pull.