OK
In Australia, tomato paste is the same as UK tomato puree.
In Australia, we can also buy a product called tomato puree, wich does not exist in UK (or didn't when I lived there.) It is a diluted form, much like the consistebcy of passata.
It's ok mate I still get confused, I often send the kids round to the shops to get a tin of "tomato puree", and guess what, they get the thin watery shite stuff, when I wanted the thick concentrated steuff....lol
I hope that makes sense coz i'm confused now.