Under the headline "rebels' gamble", the Sun criticises the Conservative MPs who have tabled amendments to the European Union Withdrawal Bill.
The legislation, which would end the supremacy of EU law in Britain, cleared its first hurdle in the Commons early on Tuesday morning.
The Sun warns that by potentially hindering its progress, Tory rebels are increasing the risk that the legal system will be "in chaos" when the UK leaves in March 2019.
The Telegraph believes those who obstruct the Bill "risk undermining the chances of getting a good deal, and damaging the national interest".
The Guardian uses the speech on Wednesday by the European Commission President, Jean-Claude Juncker, as an opportunity to assess the health of the EU.
Its opinion column agues that the Brexit vote, the refugee crisis, and the rise of nationalist parties across Europe are challenges which have actually made the bloc stronger. It concludes that "better awareness of this in Britain is long overdue".
"Will Sky finally be the limit for Murdoch?" asks the "i". The question refers to the announcement by Culture Secretary Karen Bradley that she is likely to ask the Competition and Markets Authority to look at Rupert Murdoch's BSkyB takeover bid.
In its Lombard column, the Financial Times suggests that the media magnate must miss the days when "it was the Sun wot won it".
The Daily Telegraph's front page headline is "NHS: winter flu to be worst ever".
The warning comes from Simon Stevens, the head of the health service in England, who says services will be put under increased pressure.
In its leader, the Daily Mirror says the comments by Mr Stevens "must be taken seriously". It urges readers to "get flu jabs where possible, so the NHS can concentrate on the most vulnerable".
A long-term study, suggesting women can take hormone replacement therapy without fear that it will cause early death, is the lead in the Times.
Researchers used data on 27,000 women aged between 50 and 79. The paper quotes Professor JoAnn Manson of Harvard Medical School, who led the study, saying it "fundamentally provides reassurance for women".
Many of the papers reflect on the career of Sir Peter Hall, who died on Monday.
The Times says the "theatre world salutes a colossus".
The Guardian has a large picture of Sir Peter on its front page. The headline is a tribute from its theatre critic, Michael Billington: "He left British theatre infinitely richer than he found it".
The Daily Mail reports that the Unite union leader, Len McCluskey, when asked about the possibility of illegal strikes over public sector pay, said: "I daresay if you'd have been interviewing Nelson Mandela or Mahatma Gandhi... you'd be telling them they were breaking the law."
The paper is unimpressed by the association.
Its leader asks: "Could the contrast be any starker between those gentle champions of democracy and Mr McCluskey, with his bellicose contempt for the law?"
Finally, the Times reports on how the US Republican senator, Ted Cruz, has been drawn into a controversy over what the paper describes as a "Twitter porn gaffe".
A pornographic video was "liked" by Mr Cruz's official account on the site.
The paper says he blamed the incident on a "staffing issue", suggesting that someone with access to the account had inadvertently hit the "like" button.