  We study double soft theorem for the generalised biadjoint scalar field
theory whose amplitudes are computed in terms of punctures on
$\mathbb{CP}^{k-1}$. We find that whenever the double soft limit does not
decouple into a product of single soft factors, the leading contributions to
the double soft theorems come from the degenerate solutions, otherwise the non
degenerate solutions dominate. Our analysis uses the regular solutions to the
scattering equations. Most of the results are presented for $k=3$ but we show
how they generalise to arbitrary $k$. We have explicit analytic results, for
any $k$, in the case when soft external states are adjacent.
