Connecting web parts on different pages?

hi  i have been asked to do the following, but am confused:

1. Have webpart1 on page1.aspx    
2. webpart1 has a textbox which you enter a id number into.
3. When you press the submit button the contents of the textbox are sent to Webpart2 on Page2.aspx
4. WebPart2 then goes off and gets some data using the id.  

I know i could use session - but is it possible formally connect the two webparts - across different pages?  In a similar way to how they are linked when on the same page? i.e
<StaticConnections> <asp:WebPartConnection or is it possible programatically?


thanks

sean