Can a cookie be valid for more than one domain?

[eluser]europe72[/eluser]
Technically no, but...

My question is because my site is hosted in a shared environment, my non secure and secure sections of my site are on different domains. Specifically my non secure section is at http://www.domain.tld while my secure is at https://hosting-provider.domain.tld.

I set my cookie in the non secure section, but need it to be valid in the secure section as well...any ideas?

Thanks