A coroner is to raise concerns with the Home Office over checks on criminals entering UK after a jury found Alice Gross was "unlawfully killed" in a sexually-motivated attack.
Zalkalns was found hanged in a park on October 4 and police said the 41-year-old would have been charged with Alice's murder had he been alive.
Read more: Home Office admits foreign murderers may only be detected if they offend in UK, Alice Gross inquest hears Alice's family have called for careful, targeted reform of the system for exchanging information about high-risk offenders across Europe, after the inquest into their daughter's death exposed serious inadequacies.
Responding to the verdict, Alice's parents said: "Like Alice, our family is in favour of freedom of movement and all the good things it has brought to our lives.
Read more: Murdered schoolgirl Alice Gross' mum still 'stunned' convicted murderer and prime suspect was able to enter the UK "We do not believe that any citizen deserves to be treated differently based on their race or nationality.
On the sixth day of the inquest at the Royal Courts of Justice in London, a jury of eight men and three women announced their "final conclusions" relating to Alice's death.
They found that her death was "consistent with compression asphyxia".Alice disappeared from her home in Hanwell, west London, on August 28 2014.Her body was found on September 30 after Scotland Yard conducted its biggest search since the July 7 bombings."Our only concern has been to ensure that there are fair and proportionate rules governing the movement of serious criminals within Europe, whether that is a Latvian coming to the UK or a dangerous UK citizen travelling abroad." Outside the Royal Courts of Justice, Mr Gross said: "As Alice's father, losing Alice has shattered me."The pain of knowing I will never see, hear or cuddle her again is unbearable.This inquest has helped me face what has happened and hopefully now I will be able to properly grieve for my beautiful, loving daughter." Ms Hodgkiss said: "I still find it almost impossible to believe that our lovely daughter has been so brutally taken from us. I have felt the need to find out as much as I can about how it is possible that she could have been killed in such a horrific way, and to try and change things so that it doesn't happen to anyone else." Alice's sister Nina Gross said: "I feel that it is sometimes forgotten that Alice was a real person; a kind and loving sister who deserved so much to live a full life. Regardless of whether legal responsibility can be attributed to the State for Alice's death, I believe the State failed Alice and our family.