  In this work we present a scenario in which a nonstandard interaction in
neutrino propagation can explain the three major tensions in the neutrino
oscillation data at present. These tensions are: (i) a non-zero best-fit value
of the non-standard oscillation parameters in the the global analysis of the
solar and KamLAND data which rules out the standard oscillation scenario at
$90\%$ C.L, (ii) the measurement of the non-maximal value of $\theta_{23}$ by
NO$\nu$A which excludes the maximal mixing at $2.5 \sigma$ C.L. and (iii) a
discrepancy in the $\theta_{13}$ measurement by T2K which has a tension with
the reactor best-fit value of $\sin^2\theta_{13}=0.021$ at $90\%$ C.L. Our
results show that all these three above mentioned anomalies can be explained if
one assumes the existence of the non-standard interactions in neutrino
propagation with $\theta_{23}=45^\circ$ and $\sin^2\theta_{13}=0.021$ in the
case of normal hierarchy. In our scenario the phase of $\epsilon_{e\tau}$ is
zero and the most favorable value of the Dirac CP phase is approximately
$255^\circ$.
