Reentrant solitons are predicted to exist in homeotropic nematic liquid crystals under simple shear or in Poiseuille flow. The director equation of motion with the boundary effects due to the cell walls fully incorporated is given, which is then approximated and reduced to an effective equation of one spatial dimension with only two dimensionless parameters β and γ. For β fixed within a narrow range, as γ is varied a sequence of soliton-no soliton-soliton is obtained. This new reentrant soliton phenomenon is accessible to experimental verification.