Man, you have problems!
There was nothing fuzzy about Ekberg! Well, she fell out of her dress (facing the wrong way) during the nightclub scene where the guy has her spinning up in the air above his head - no mean feat!
In the film there's what I remember as a huge convertible (can't remember what, either - same problem as you) in which Marcello takes Anouk Aimee's character and a hooker to the hooker's flooded flat where they ask the lady of the night to let them use her bedroom... there's a Thunderbird involved twice: at the scene where the kids claim to have seen the Virgin - I think just before the rain starts - and also during a 'chase' through the streets, probably on the way to the villa in Fregene where the movie ends.
Probably my favourite movie. The video I had stuck itself together because of age and dampness...
Rob C