A system and method for efficiently enabling local security connectivity between electronic devices over multiple bearers. Electronic devices are configured to advertise, over each bearer, their respective configuration parameters for each bearer. After a connection has been established between the electronic devices over a first bearer, the two electronic devices use the first bearer to establish connections over the other bearers using the configuration parameters contained in the advertisements and advertised over the first bearer. Shared keys are established for the other bearers either using keys derived from the first shared key or by using the first secure connection as an out-of-band channel. The present invention also provides for the creation of an ad hoc WLAN connection once a Bluetooth connection has been established.