Many of the papers report on the latest allegations against Cambridge Analytica, which is accused of misusing the data of millions of people on Facebook.
Hugo Rifkind in the Times says the horrible truth is that tools built to sell cars and fridges have not just skewed our political discourse, but may have supplanted it altogether.
In an editorial, the Financial Times poses four simple questions for Facebook. They include why the firm apparently took so little action when the problem was discovered and who is accountable. According to the FT, there's a case for thinking that if everyone left Facebook, we might be individually inconvenienced, but collectively better off.
The arrest of the TV presenter, Ant McPartlin, on suspicion of drink-driving remains the lead story for the tabloids. "Ant back in rehab" is the headline in the Daily Star and the Daily Mirror. The Sun thinks he could be off-air for the rest of the year.
The latest step towards Brexit divides opinion. The Times is mainly positive. Its editorial says the mood surrounding the negotiations has changed to one of cautious optimism, although there's still a daunting amount of work ahead. The paper says that in conceding to Britain the freedom to open trade talks with other countries from next March, the EU has shown itself to be less wedded to its own small print than many critics feared.
The Daily Mail believes the UK has taken a huge step. For all the scaremongering and cynicism of Remainers, it says, a course has been set for a smooth and amicable departure from the EU.
According to the Guardian, Mrs May faces a storm of protest after conceding a series of high-profile Brexit demands. In his sketch column, John Crace says the EU's chief negotiator, Michel Barnier, made only a token effort to sound as if he wasn't crowing that many British objections had been brushed aside.
The Daily Mail says at least £21m has been spent on hotel bills for survivors of the Grenfell Tower fire and residents who lived nearby. The paper reports that the leader of the local authority, Kensington and Chelsea, has acknowledged that the speed of re-housing has been painfully slow.
According to the Times, families who lived in local authority housing near the tower block have been told they must go back to the homes they abandoned last June or accept a privately-rented flat with worse tenancy terms.
The Times is one of several papers to publish a 150-year-old photo of a serious young man in a suit which was bought by a collector in Spalding for £7 on eBay. It now seems certain that the picture is of Jesse James before he embarked on his career as a wild west outlaw. It could be worth more than one million pounds.