Character mistake: When Steve is at the Smithsonian, he reads the biography of his friend Bucky. At the start of the description, the bio reads "Born in 1916...", but at the bottom of the description, it reads "Bucky Barnes: 1917 - 1944." (00:18:35)
Character mistake: When Steve and Romanoff "switch on" Arnim Zola, Zola says "I may not be the man I was when the Captain took me prisoner in 1945." In the first Captain America, it was shown Steve took Zola into custody the same day as his friend Bucky supposedly died. However, the bio of Bucky shown at the Smithsonian earlier in the film said that he died in 1944. (01:00:25)
Chosen answer: They were talking about the apartment Steve Rogers lives in. Pierce is saying Nick Fury bugged Cap's apartment, one of his own agents.
Bishop73