In a statement on behalf of all of Alena's friends and family, Alena's husband, Viliam Grlak, said: "The conviction for murder today is welcomed by family and friends of Alena both in the UK and Slovakia.
"The verdict will not reduce the pain and suffering that we have had to endure since Alena was so cruelly taken from us but it does give us the justice that we hoped to achieve.
"I would like to take this opportunity to thank South Yorkshire Police for supporting my family during the investigation.
"My family and I would now like to take the time to reflect on what has happened over the last two and a half years and request that we are given the privacy to do so."
You can read an overview of the case here.