A system and associated tubing set for installation on the panel of extracorporeal circuit, including a pump tubing unit featuring a disposable pump. Two inlet line branches are fluidly connected to the pump inlet and two outlet line branches are fluidly connected to the pump outlet. The free ends of one inlet branch and one outlet branch carry a Colder type connector and a clamp between the pump and the respective Colder connectors. A blood reservoir unit has a support plate mountable to the panel, which carries a blood bag having an inlet line with a free end and Colder connector and an outlet line with free end and Colder connector.