The first thing you can do is decouple the session from the process by using a SQL (or other database) session state server that holds the serialized copy of the session data attached to a session id. Then you could use a persistent cookie to pass the session id back and forth. Any session that expires could then be regenerated or reinstated.
Since you're wanting to maintain a session all day (which is innately insecure), we'll assume that most security considerations have already been thrown out. If you're concerned about replay attacks, you could use an HMAC to validate cookie session requests by having the session id, datetime, username (if that's part of your data), maybe IP address in a string followed by a one-way salted hash of this data. This way you rehash the data and compare the hash sent with the request with the generated hash from that data to see if the request is valid.