Webmail client for install shared hosting

Hi,

I'm looking for a free webmail client that can do the following:
- Run on shared hosting (LAMP)
- Can read email from multiple accounts in one user account
I have a number of email accounts on my own domain, a Gmail account, a Hotmail account etc. I want to read them all in a single account.
I know Gmail can do this, but it has a limit on the number of accounts you can add, and I want to host it myself.

Does anyone know a webmail client that can do this?
I've tried Roundcube, but it doesn't seem to support reading multiple email accounts.

Cheers,
CJ