She had been living under the "protective custody" of Pakistani authorities since her release from prison in November.
Bibi's acquittal on October 31 had led to violent protests by hard-line Islamists.
The Tehreek-e-Labbaik party, which petitioned the Supreme Court to reverse its earlier ruling, had called for new rallies after the top court this week rejected its petition.
But the nationwide rallies the extremists had called for on Friday mostly fizzled out, with the exception of some violence in the southern port city of Karachi.
Frankfurter Allgemeine Zeitung reported that Bibi's lawyer Saif-ul-Malook was still in Pakistan. He had returned to the country shortly before the final Supreme Court hearing after spending months abroad due to death threats.
"I'm in my apartment, I'm not going to my office," he told the newspaper.