The 29-year-old plays for FC Krylia Sovetov Samara in Russia but his national team boss Kaja Tsjadadze has revealed the Blues have been in contact.
Spanish daily Marca quote Tsjadadze as telling Georgian Barcelona Ny drakt - http://www.phyllispatrick.com/barcelona-wc19.htm media: "There were two days where Chelsea would not stop calling."
He added that he told Loria to "concentrate on playing with his new team".
Thibaut Courtois will be out of action until Christmas after suffering a knee injury earlier this month.
Asmir Begovic has deputised in the Belgian's absence with third goalkeeper Jamal Blackman on the bench.
Begovic has kept just two clean sheets in Everton Ny drakt - http://www.phyllispatrick.com/everton.htm his five matches for the club so far.
Manager Jose Mourinho claimed he would not look for an emergency loan deal but the latest reports suggest his stance may have changed.
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