Background
Last year, in October, an exceptionally weak paper was published in Nature. The publication of such a piece in a top journal was a clear violation of peer-review standards. Despite the title and publication in a reputable journal, this paper did not provide any evidence.
My attempts
I guess, I was the first to submit a Brief Communication Arising to Nature just a week after the initial publication. My comment was rejected two weeks later, and I published it in Publons system. I see that up until now there has been no clear statement in the peer-reviewed academic literature of the flawed nature of Dong et al paper.
The question
What is the best way to publish a critical comment on a paper published in top journal, if that journal rejected the comment?
I believe, it is very important to publish the critical comment in a peer-reviewed journal. However, usually journals are only willing to consider critical comments on the papers published in their pages.