Beatrice Jones said she had been "appalled" to learn that serial criminals – including murderers and rapists – were allowed into the country unrestricted under EU freedom of movement rules and has campaigned for a change in the law following the murder of her daughter in Glasgow's Queen's Park in May 2008 by Slovakian national Marek Harcar.
It emerged later that he had 13 previous convictions in his home country, some of them for violence.
Mrs Jones has welcomed a call from senior police officers for new legislation that would force foreign criminals to declare their convictions on entry to the UK.
She said: "I can only hope that the senior police officers of the Association of Chief Police Officers in Scotland (Acpos) have their common-sense, prevention-first proposals listened to and acted upon for the sake of all of us."
Police made the recommendations following a review into the murder of Dundee mother-of-three Mary McLaren, who was killed by Irish national Patrick Rae. He had a string of convictions and was a registered sex offender.
Officers were made aware of Rae's past when he went missing on arrival on Scottish soil but he was left unmonitored for up to five years before he killed Ms McLaren after meeting her in a nightclub.
Mrs Jones, 71, of Staffordshire said she would welcome the use of the European Criminal Record Information System (ECRIS) – an EU-wide electronic exchange of criminal records that was launched in April.
However, ECRIS is just one of 135 EU justice programmes the UK Government says it is "minded" to opt out of, as it is entitled to under the Lisbon Treaty.
Mrs Jones has met two Home Secretaries on the matter and written "hundreds of letters" to ministers, MPs and MEPS on the issue.
She said: "Marek Harcar assaulted, abducted, brutally raped and murdered my beloved daughter.
"After he was found guilty at the High Court in Glasgow, the Lord Advocate read out his criminal record, which included 13 previous convictions, at least four of them for violence. I thought a mistake had been made about letting a serial criminal into the UK.
"I was appalled to learn that it was the norm for EU citizens to come in unchecked.
"Since then I have met two Home Secretaries, written hundreds of letters to ministers, MPs and MEPs in my attempts to have changes made in the law so that other families' lives are not torn apart like ours."
Calls for the law change, which followed a review by Lothian and Borders Police carried out on behalf of Acpos, have been backed by opposition politicians and Rape Crisis Scotland.
Sandy Brindley, of Rape Crisis Scotland, said that urgent action was needed.
She said: "There is a clear loophole in relation to sex offenders coming into the UK from overseas. This loophole is placing women and children at serious risk, and action must be taken to address it as a matter of priority.
"Sex offenders from overseas should be subject to the same restrictions as Scottish sex offenders.
"The police should be automatically notified whenever a convicted sex offender enters the country to enable monitoring arrangements to be put in place." Any EU-wide crime system would work both ways, so that British offenders would be unable to move as freely into EU countries without being monitored.
This would prevent UK sex offenders who are closely monitored moving to other countries where restrictions may not be so tightly regulated.
Such a system may have stopped Scots lorry driver James Connor, who was jailed for abusing young boys in Romania earlier this year.
The 33-year-old, who had previous convictions for offences against children in Scotland, is also suspected of abusing children in France, Spain, Moldova, Bulgaria and Ukraine.
The UK Government has refused to reveal whether it was considering such legislation.
