Published Monday, 05 May 2014
Michael McConville speaks following the weekend's developments. (© UTV)
It comes after Sinn Féin president Gerry Adams was released from custody after four days of questioning by detectives investigating Ms McConville's abduction and murder in 1972.
DUP leader Mr Robinson has now offered to meet the family about the case.
He said: "Whilst Gerry Adams and Sinn Fein have been playing the victim, it is important to remember that the real victims are the McConville family. Ten children were left orphaned and have never received justice. This was a horrific and brutal crime.
I plan to meet Michael in the coming days and discuss how I can be of any help to him and the wider McConville family.
"The fact that Gerry Adams was questioned for four days demonstrates that this was a serious and significant element of the police investigation."
Speaking in Belfast on Monday evening, Mr Adams described his arrest as a sham and said that the McConville family have the right to seek justice, but said he was looking to the future.
He said: "The sham that I was put through in terms of the total failure of the PSNI to present any evidential link between me and that awful event is not the way to go forward."
"While we support the PSNI we will not be diverted from our paths and jobs of building the peace."
Earlier, Michael McConville raised concerns about "political interference" in the investigation into his mother's death 42 years ago.
He said: "We do think there is going to be political interference with the case - we have seen the likes of Martin McGuinness coming out making statements against the police and everything else.
"All we want is justice for our mother. We think this case should be taken out of Northern Ireland."
Meanwhile, in a separate move Helen McKendry, a daughter of Jean McConville, has said she is considering taking a civil case against Gerry Adams.
There's nobody here to speak for my mother, only her family, and we have to make as much noise as possible
She said: "At the minute we are listening to legal advice and we have to see what comes out of that but yes I will be taking legal action. It seems I'm not going to get justice for my mother in a court of law here so the only way I can do it is if I take legal action myself."
Police released 65-year-old political leader Mr Adams from Antrim PSNI Station on Sunday evening.
After leaving via a back door, while loyalist protestors gathered at the front of the building, he made his way to packed news conference in Belfast where he again denied any involvement in the murder of Jean McConville.
"I am conscious that there is another family at the heart of this," Gerry Adams said.
"That is the family of Mrs Jean McConville. Let me be very clear. I am innocent of any involvement in any conspiracy to abduct, kill and bury Mrs McConville.
"I have worked hard with others to have this injustice redressed and for the return of the bodies of others killed and secretly buried by the IRA and I will continue to do so."
Mr Adams' release comes pending a file being sent to the Director of Public Prosecutions - however the current DPP, Barra McGrory, will have to stand aside and allow his deputy to consider whether Mr Adams should now face charges, as Mr McGrory has acted as Mr Adam's solicitor in the past.
© UTV News