Israel Defense Forces said it launched an "operation to counter terrorism" in the northern West Bank overnight Tuesday.

"The security forces have now begun an operation to counter terrorism in Jenin and Tulkarm in the Menashe division," the IDF said in a statement.

Qaid Farhan Alkadi, the hostage rescued from a tunnel in Gaza, is in "good condition," but will remain in the hospital for "another day or two of medical tests to make sure he is still OK," Shlomi Codish, the CEO of Soroka Medical Center, said during a press conference Tuesday.

Alkadi is being treated at the Soroka Medical Center after being rescued by Israeli forces.

"He underwent initial evaluation in our emergency department. He appears to be in general good condition, but will require another day or two of medical tests to make sure he is still OK. We are ecstatic with his family. Watching him unite with his children, his brothers, was a heartwarming moment for all of us and we hope to be able to experience such moments with many more returned captives here at Soroka Medical Center," Codish said, according to Reuters.

A delegation from Israel -- including Israeli Security Agency, Mossad and IDF officials -- is heading to Doha, Qatar, on Wednesday to continue hostage release and cease-fire talks, an Israeli official told ABC News Tuesday.

-ABC News' Jordana Miller

Qaid Farhan Alkadi was alone when he was located by Israeli forces in a tunnel in Gaza, Israel Defense Forces officials told ABC News.

In the last few days, IDF and Israeli security agency forces had been operating in the area where Alkadi was found and rescued, according to IDF officials. The forces operated underground, in a complex environment where there was suspicion of the presence of hostages, terrorists and explosives, the officials said.

Farhan was located by Israeli forces when he was alone, without his captors, and was rescued from the tunnel, the officials added.

-ABC News' Dana Savir