A coupling between a flowline (15, 20, 25, 35) and a structure (5, 10), the coupling comprising: a housing with a tubular member having a first longitudinal centerline and two tubular portions, each tubular portion extending normally from the tubular member and having a second longitudinal centerline normal to the first centerline; a first cylindrical member disposed within the tubular member and rotatable relative to the tubular member about the first centerline, wherein the first cylindrical member has a flanged end distal the structure (10, 45); a second cylindrical member disposed within one of the tubular portions and a third cylindrical member disposed within the other tubular portion, the second and third cylindrical members immovable relative to the structure (10, 45); wherein the housing and the first cylindrical member disposed therein are rotatable about the second centerline relative to the second and third cylindrical members; a pair of support plates extending from the flanged end of the first cylindrical member; a flowline support frame disposed between the pair of support plates, wherein the flowline support frame is rotatably coupled to the support plates with a pair of pins extending from opposing sides of the flowline support frame, each pin having a third longitudinal centerline oriented normal to the first and second centerlines (180, 170) and received within a bore in one of the plates, wherein the flowline support frame is rotatable about the first centerline and the third centerline; wherein the flowline support frame has a throughbore within which the flowline (15, 120) is received; wherein the flowline (15, 120) is rotatable about the first centerline relative to the housing, rotatable about the second centerline relative to the structure (10, 45), and rotatable about the third centerline relative to the first cylindrical member. a housing with a tubular member having a first longitudinal centerline and two tubular portions, each tubular portion extending normally from the tubular member and having a second longitudinal centerline normal to the first centerline; a first cylindrical member disposed within the tubular member and rotatable relative to the tubular member about the first centerline, wherein the first cylindrical member has a flanged end distal the structure (10, 45); a second cylindrical member disposed within one of the tubular portions and a third cylindrical member disposed within the other tubular portion, the second and third cylindrical members immovable relative to the structure (10, 45); wherein the housing and the first cylindrical member disposed therein are rotatable about the second centerline relative to the second and third cylindrical members; a pair of support plates extending from the flanged end of the first cylindrical member; a flowline support frame disposed between the pair of support plates, wherein the flowline support frame is rotatably coupled to the support plates with a pair of pins extending from opposing sides of the flowline support frame, each pin having a third longitudinal centerline oriented normal to the first and second centerlines (180, 170) and received within a bore in one of the plates, wherein the flowline support frame is rotatable about the first centerline and the third centerline; wherein the flowline support frame has a throughbore within which the flowline (15, 120) is received; wherein the flowline (15, 120) is rotatable about the first centerline relative to the housing, rotatable about the second centerline relative to the structure (10, 45), and rotatable about the third centerline relative to the first cylindrical member.