Web-screen scraping is less desirable than SOAP (Ass suggested by fireartist.

If you can get the cooperation of the "B" team, a better option would be for them to provide a web-service, that you can call from your server.

If that is not possible, I suggest do some background downloading (probably using Mechanize or other LWP flavour), save the info into a local database on the A server, and use that to populate info into your app.

This should make your app (A) more responsive and reliable, because you reduce real-time lookups on (B).