I looked up what you have and it looks like a much better version of what I have.
Here is an Amazon link for "tomato mill"
http://www.amazon.com/s/ref=nb_sb_no...ds=tomato+mill
Strictly speaking, the first round thing is a "mill". But now days there are all these newer machines that do it better and easier.
So no you don't need a "mill" too.
Carol