  In a comment [arXiv:2106.00494] to our paper on ``Sequential single-pion
production explaining the dibaryon $d^*(2380)$ peak'' the authors provide
arguments that apparently invalidate our claims and present what they call
``proofs'' of the dibaryon explanation of the $np\to \pi^0\pi^0d$ fusion
reaction. In this reply we refute the arguments of the comment and show that no
existing experiment proves the dibaryon nature of the peak of the fusion
reaction.
