A system for generating liquidity includes a plurality of client user interfaces and a matching system. Each client user interface includes a trading desktop which stores unexecuted trading positions. The matching system is coupled with the plurality of client user interfaces and configured to receive information about the unexecuted trading positions. The system can identify as a match one or more first indications of interest which can fulfill one or more second indications of interest, based upon the information about the unexecuted trading positions. For the identified matches, the system can provide a notification of the match and an invitation to execute the match to corresponding client user interfaces. When an invitation is accepted, the system forwards an order to an order execution system for execution.