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SLC, however admitted the ECB had communicated their interest in recruiting Farbrace, a release said.
Farbrace had only become Sri Lanka's national coach in December when the incumbent Graham Ford left the job. Farbrace became an instant hit with the Islanders as he guided Sri Lanka to victory in the World T20 in Bangladesh.
He was also in charge when Sri Lanka won the Asia Cup, while winning the series against Bangladesh.
"SLC has received numerous inquiries from the Media in relation to England and Wales Cricket Board's interest in recruiting Paul Farbrace as one of their coaches.
"Unfortunately, Paul Farbrace has not been in communication with SLC on this subject matter at this point of time. Efforts to contact Paul Farbrace, who is currently in England have proved futile," the release said.
"SLC have in no uncertain terms expressed its surprise and disappointment with regard to this development since Paul is in contract with SLC for a two-year term (which includes a six month probation period) ending in December 2015. And particularly because the Sri Lanka national team will be visiting England within the next few weeks," the release added.