A method is provided for establishing a split-terminated secure communication connection between a client and a server. A first network intermediary intercepts a secure communication connection request directed from the client to the server. A second intermediary having a digital certificate in the name of the server (and a corresponding private key) acts in place of the server to establish a first secure communication session with the client, during which it receives a secret from the client for generating the session key. The second intermediary supplies the secret and/or the session key to the first intermediary, which allows the first intermediary to establish follow-on secure communication sessions in which the secret is reused. The second intermediary may also supply the first intermediary with a copy of its certificate so that it can respond to new secure communication requests and, yet further, may also supply a copy of the private key.