The invention relates to a method and system for connecting a user equipment to a network in abnormal situations normally not allowing the network element to conduct a call. For establishing an emergency session, the network element is adapted to send an indication to the network, the network, when receiving the indication, accepting the call request and establishing the connection for conducting the emergency session.As an alternative, the network, when receiving the indication, may reject the session request whereupon the user equipment initiates an Anonymous Access PDP Activation procedure with the network. To save time, the network, when receiving the indication, may directly return an Anonymous Access PDP Activation Request message to the user equipment for initiating the Anonymous Access PDP Activation procedure. The network, when receiving the session request including the called number, may be adapted to analyze the called number and, when detecting that the called number is an emergency number, to accept the call request and establish the connection for conducting the emergency session.