The parents of a student who vanished in mysterious circumstances after leaving a nightclub made a desperate appeal for information last night. Karen Buckley, 24, disappeared from the Glasgow club in the early hours of Sunday morning without collecting her coat after telling friends she was going to the loo. CCTV cameras filmed her talking to a man outside the club before getting into his car and travelling to his flat in nearby Kelvindale . But fears over the Irish student’s safety were heightened yesterday after police revealed they had tracked down the man and he is not being treated as a suspect. Scroll down for video . Karen Buckley, 24, (left) pictured with friends on the night she went missing after leaving a Glasgow nightclub . Karen Buckley, a student at Glasgow Caledonia University,  has been missing since Sunday after going out with friends . Miss Buckley, who is brunette and 5ft 2in, was wearing a black jumpsuit and red heels when she was last seen leaving the man’s flat in Kelvindale at around 4am. A handbag thought to belong to her was found in a park near the man’s home yesterday, causing police to say they are ‘gravely concerned’ about her safety. The family of Miss Buckley, who is from Cork in the Republic of Ireland, have flown to Scotland to help with the search for the Glasgow Caldeonian University student, who studies occupational therapy. Her mother Marion told a press conference in Glasgow: 'We just want Karen home safely, we are desperate. She is our only daughter, we love her dearly. Miss Buckley, who is originally from Cork in Ireland was last seen when she left the flat of a man she had met at around 4am on Sunday morning and was planning to walk home to her flat in Hill Street in the Garnethill area . Miss Buckley's parents Marian and John have travelled to Glasgow from Cork to help in the search for their daughter . 'If anybody has any information please come forward, we would dearly appreciate it.' Her father John Buckley, 62, added: 'We are extremely concerned for her. We are desperate to get her back and safe with her family - she is our only daughter, we love her dearly and just want her to come home safe and sound. 'She always keeps in contact with her family and friends to let them know where she is and what she is up to. 'To not return to her flat or be in contact with her pals - not responding to texts and calls to her mobile is very, very worrying as it is so out of character.' Miss Buckley arrived at the Sanctuary club with friends at around 11.45pm on Saturday and at around 1am she told them she was going to the toilet. She failed to return and did not take her jacket. She was then seen outside on CCTV talking to a man and then walking west along Dumbarton Road towards Church Street. Friends then raised the alarm on Sunday, saying it was 'very out of character' for her not to return home. Officers have traced the man Ms Buckley was seen speaking to outside the nightclub, and he is 'helping police with inquiries.' A map showing the last known movements of Miss Buckley around Glasgow on the night that she went missing . A handbag which police believe belongs to Miss Buckley was found in Dawsholm Park, near Dorchester Avenue, early this afternoon. There has been no activity on her social media accounts in the last couple of days and her mobile phone is believed to be out of battery. Detective Superintendent Jim Kerr, from Police Scotland's major investigations teams, stressed that the male was 'not a suspect.' He told the press conference: We've traced the man she was with in Dorchester Avenue. He believes he was intimate with her at his flat consensually in the early hours of Sunday. 'From what we can see, she does not appear to be under duress, there's no signs of a struggle or reluctance on her part to leave the club. 'However, that does not mean that something untoward has happened to her at a later stage. 'There was talk of another man she had been seen with. We've also traced him, we've spoken to him.' Police comb through trees in Kelvingrove Park below the tower of Glasgow University in the search for Miss Buckley . Police say there has been no activity on Miss Buckley's social media accounts and say that they have recovered her handbag . Miss Buckley, who has three older brothers, is described as white and around five to five foot two inches tall with brown eyes and dark hair which had long black curly extensions in it. When last seen, she was wearing a black jumpsuit with red high-heeled shoes and was carrying a black handbag. She also speaks with an Irish accent. Miss Buckley lives with three other student friends and earlier on Saturday evening had drinks with them in their flat before going to the night club, although her friends told police she was not drunk. Mr Kerr appealed for people to come forward with any information about the missing woman's whereabouts, saying while it 'may seem insignificant to them, however to us it may be the piece of information that leads us to finding her.' The Sanctuary nightclub on Dumbarton Road, where Miss Buckley was seen outside talking to a man before leaving . A man walks past the nightclub where Miss Buckley was last seen (left) and police behind the door of a flat at Dorchester Avenue (right), where she reportedly went back to after leaving the club . Miss Buckley was last seen leaving the flat of a man in Dorchester Avenue, pictured in the Kelvindale area of Glasgow . Her handbag was found at Dawsholm Park, near Dorchester Avenue, by a member of the public today . He said the public response so far had been 'encouraging', adding: 'People really do want to help. 'However, at this time we need the information about her whereabouts and her movements after leaving the club.' DS Kerr also appealed for information on a grey car that had been seen parked on remote roads between Milngavie and Drymen on Monday. He added: 'From our inquiries we are also keen to trace a grey car which was seen on the country roads between Milngavie and Drymen, between 11am and 3pm on Monday. 'The activity of this grey car on the Monday is something that we're a wee bit concerned about. This car has been seen at various locations on these roads and I want to know why.' 'We are gravely concerned that Karen has come to some harm, whether that is down to foul play, criminality or she has taken unwell or had an accident is obviously still to be established.' Officers gathered outside Dawsholm Park in Glasgow before they began combing the area in their search . Police are continuing their search for the missing occupational therapy student in Glasgow today . Her parents say they are 'deeply concerned' and want their only daughter to return home safely as searches continue . Police also appealed for information on a grey car that had been seen parked on remote roads between Milngavie and Drymen on Monday . A police helicopter was seen circling above Dawsholm Park in Glasgow this afternoon after Miss Buckley's belongings were allegedly found there . Police are 'gravely concerned' for her safety and officers are treating her disappearance as a high-risk missing person inquiry .
Karen Buckley, 24, had been at the Sanctuary Nightclub in Glasgow .
Left her friends and went back to a man's house in the Kelvindale area .
Was last seen leaving his house at 4am and was planning to walk home .
Friends raised alarm after she failed to return home on Sunday morning .