An articulated flowline connection, or coupling, between a flowline and a structure. In some embodiments, the coupling includes a housing and three cylindrical members, each disposed within the housing. The housing has a first longitudinal centerline. The first cylindrical member is rotatable relative to the housing about the first centerline, the first cylindrical member supporting the flowline, whereby the flowline is rotatable about the first centerline relative to the housing. The second cylindrical members are immovable relative to the structure. The housing and the first cylindrical member disposed therein are rotatable about a second axis normal to the first centerline relative to the second and third cylindrical members, whereby the flowline is rotatable about the second axis relative to the structure. In some embodiments, the flowline is also rotatable about a third axis normal to the first centerline and the second axis relative to the coupling.