Hull boss Phil Brown believes 29-year-old Peruvian is the answer to the Premiership new boys goal scoring problems.
"We've made contact with Chelsea with regards to Claudio," Brown told the Hull Daily Mail.
"It's a very expensive option, but again, it would be an option if we were allowed to speak to the lad. If that happened then who knows?
"But as far as we are concerned we have made contact with Chelsea and that's where it lies at the moment."