  We present a determination of the curvature $\kappa$ of the chiral
pseudocritical line from $N_f=2+1$ lattice QCD at the physical point obtained
by adopting the Taylor expansion approach. Numerical simulations performed at
three lattice spacings lead to a continuum extrapolated curvature $\kappa =
0.0145(25)$, a value that is in excellent agreement with continuum limit
estimates obtained via analytic continuation within the same discretization
scheme, $\kappa = 0.0135(20)$. The agreement between the two calculations is a
solid consistency check for both methods.
