The axisymmetric creeping motion of a neutrally buoyant deformable drop flowing in a tube with periodically varying diameter is analyzed with a boundary integral equation method. The undeformed drop radius is comparable to the average tube radius. The fluids are immiscible, incompressible and the suspension flows at constant volume flux. Two tubes are considered. Tube I has a maximum to minimum radius ratio of 1.8 and a maximum radius to wavelength ratio of 0.3. Tube II has a contraction ratio of 3 and the same maximum radius to wavelength ratio. The effects of the capillary number, the drop to suspending fluid viscosity ratio, drop size and the contraction ratio on the extra pressure drop and drop speed are examined.