  We consider the one-dimensional nonlinear Schr\"odinger equation with
focusing, power nonlinearity, and a repulsive delta potential. We show that if
the potential is not too strong, the construction by Nguy\~{\^e}n (2019) of
solutions converging strongly at time infinity to a pair of logarithmically
separating solitons can be adapted to accommodate the effect of the potential.
On the other hand, we show that if the potential is stronger, no such solutions
exist.
