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In light of recent experimental results, we revisit the dispersive analysisof the $\omega \to 3\pi$ decay amplitude and of the $\omega\pi^0$ transitionform factor. Within the framework of the Khuri-Treiman equations, we show thatthe $\omega \to 3\pi$ Dalitz-plot parameters obtained with a once-subtractedamplitude are in agreement with the latest experimental determination byBESIII. Furthermore, we show that at low energies the $\omega\pi^0$ transitionform factor obtained from our determination of the $\omega \to 3\pi$ amplitudeis consistent with the data from MAMI and NA60 experiments.

$\omega \to 3\pi$ and $\omega\pi^{0}$ transition form factor revisited