Disclosed are capsule/tube connector/tube assemblies that eliminate a connection point in a filter capsule apparatus. A relatively soft tube is thermally or sonically bonded to a relatively hard tube connector that may have a tube receiving bore, a frustoconical tube receiving channel or a straight tube receiving channel. The tube connector is bonded to a filter capsule port. The manufacturing process can be either a one-step process bonding the tube and capsule during formation of the tube connector in one step, or a two-step process that binds the tube to the tube connector in one step and binds the tube connector to a filter capsule port in a second step. Single and dual-walled tubes may be used as well as single and dual-walled tubes having reinforcing material superposed about or embedded in the tube wall(s). A tube support collar is also disclosed. Also disclosed are capsule port/tube connector/tube combinations in which capsule port tips and tube connectors are combined to create tube-receiving gaps or channels to secure a tube to a capsule assembly. Multiple capsule/tube connector/tube assemblies may be connected to form a filter train.