Labour says it has received a letter from Daily Mail group chairman Lord Rothermere that repeats the Mail on Sunday apology, but he says he does not believe it reflected the culture and practices at the papers.
It does not deal with the Ralph Miliband article.
Alastair Campbell told ITV News that the Mail on Sunday journalist gate crashing a memorial for Ed Miliband's uncle was "sick."
A Marks and Spencer spokesperson said that it would be "inappropriate to comment" on the Daily Mail or the Mail on Sunday's editorial content and that the company had no plans to change their advertising.
This comes as Labour activists have called on advertisers to withdraw their support for the papers over the article on Ed Miliaband's father Ralph and a Mail on Sunday journalist gaining entry to a private memorial for Mr Miliband's uncle.
Alex Spence, Media Editor at the Times has tweeted to say that the office of Lord Rothermere, chairman of the Daily Mail group, has told him that the matter of a Mail on Sunday journalist attending a private memorial for Ed Miliband's uncle is 'under review':
Office of Lord Rothermere: "The matter is under review and we'll be responding in due course."
Former Labour MP David Miliband has tweeted saying it is "unbelievable" that a Mail on Sunday journalist attended a private memorial for his uncle Harry.
Woken up in San Francisco to texts about my uncle Harry. Unbelievable. (1/2)
Glad there has been an apology. He was a lovely man. Thanks for messages here this week. (2/2)
The paper has apologised to his brother and Labour leader Ed Miliband.
Read the Mail on Sunday apology here.
The Press Complaints Commission said it is "deeply concerned" about the Mail on Sunday's actions.
The PCC said it will follow the matter closely and deal with the complaint if the Miliband family make one.
The editor of the Mail on Sunday, Geordie Greig has "unreservedly" apologised to Labour leader Ed Miliband after a reporter from his newspaper snuck into a private family memorial service.
Mr Greig said the two journalists had been suspended, and an investigation is underway.
I unreservedly apologise for a reporter intruding into a private memorial service for a relative of Ed Miliband. The reporter was sent without my knowledge; it was a decision which was wrong. Two journalists have been suspended and a full investigation is now being carried out.
I would further like to apologise to members of the family and friends attending the service for this deplorable intrusion. I have already spoken personally to Ed Miliband and expressed my regret that such a terrible lapse of judgement should have taken place.
It is completely contrary to the values and editorial standards of The Mail on Sunday. I understand that Lord Rothermere is personally writing to Ed Miliband.
Labour sources say the apology from the Mail on Sunday is an important step but is not sufficient.
They want an expression of regret from the Mail and an investigation into culture and practices.
I understand that the Mail on Sunday will apologise to Ed Miliband.
Lord Rothermere will be writing to him. The editor will be calling him, and staff suspended.