A method and system in the User Equipment (UE) for maintaining rejected network slice selection assistance information (NSSAI) for Single Network Slice Selection Assistance Information (S-NSSAI) not available due to maximum number of UEs reached per access type. The method comprises receiving a Non-Access Stratum (NAS) message including at least one of a registration accept, registration reject or CONFIGURATION UPDATE COMMAND message along with at least one of rejected Single Network Slice Selection Assistance Information (S-NSSAI(s)) information and a cause for the S-NSSAI not available due to maximum number of UEs reached from a network. Thereafter, the method includes determining by the UE an access type on which the rejected S-NSSAI(s) is applicable based on the received S-NSSAI (s) information and then maintaining a storage of the rejected NSSAI for the S-NSSAI not available due to the maximum number of the UEs reached per access type based on the determination.