Many of the papers consider whether Theresa May can reach a common position on Brexit with either the European Union or her own government.
The Times reports that Brussels is preparing to back a compromise proposal on Ireland to resolve what it calls the last big sticking point in the negotiations.
It would involve offering the UK an "independent mechanism" by which it could end a temporary customs arrangement with the EU.
The Sun spells out the importance of securing such a mechanism, reporting that 12 cabinet members - including the Brexit Secretary, Dominic Raab - will tell Mrs May that she must "stare down" the EU over the right to unilaterally pull out of any customs arrangements.
Failing to do so would see around 40 Tory backbenchers "torpedo" any deal she may sign in Brussels, the paper says.
The Financial Times, meanwhile, suggests the prime minister will also seek to "pile the pressure" on her opponents within the cabinet.
It reports Mrs May will tell them them they must "cede ground" or face the costs of a no deal Brexit, and warn them time is running out to successfully conclude the negotiations.
"New death tax to hit grieving families" is the headline in the Daily Mail.
It reports that, from April, the cost of probate is to increase to £6,000 for the most expensive estates, in a tax change that wasn't mentioned in last week's budget.
The Society of Trust and Estate Practitioners tells the paper that probate fees are supposed to cover the cost of a legal process - but now it seems the government wants to "turn them into an extra death tax".
The Daily Telegraph leads on an interview with the first woman to publicly accuse the businessman, Sir Philip Green, of sexual harassment - telling the paper he would grab her by the waist, slap her bottom, and make regular comments about her breasts.
Auna Irvine worked for Sir Phillip in the US so isn't subject to the injunction preventing publications of complaints made by people in the UK.
Sir Phillip's law firm tells the Telegraph that Ms Irvine is an unreliable witness who was sacked for giving away clothes. Sir Phillip has categorically denied any allegation of unlawful behaviour.
The i focuses on research which suggests the amount of time children spend looking at screens may not affect their sleep.
Contrary to what is commonly thought, scientists at Oxford University have found that children who spend hours staring at computers and mobile phones do not experience disrupted sleep.
The study found that every hour of screen time related to just three to eight fewer minutes of sleep a night.
Finally, the Sun is one of several papers to lead on the "rollicking" given to the television star Anthony McPartlin - best known as one half of the presenting duo, Ant and Dec - by a High Court judge.
When he should have been appearing before Mr Justice Mostyn during a divorce hearing, Mr McPartlin was in fact taking his Labrador for a walk.
A source close to Mr McPartlin said he had simply been following the advice of his lawyer, and insisted he had "massive respect" for the court.