The rocket fire and strikes come after clashes at al-Aqsa Mosque and Hamas rocket fire from both Gaza and Lebanon.
Hebrew language media reported that at least 9 rockets have been fired in the early hours of Friday morning.
Israel is concerned that Hamas, backed by Iran, will push forward with other terror activity both from Gaza and in the West Bank.
IDF sources suggested that the incident Wednesday might not be connected to Gaza rocket fire nor to any of the incidents around Jenin and Nablus.
The IDF is on high alert for "revenge" terror attacks following a failed rocket launch and continued violence in the West Bank.
Sirens sounded on Sunday evening in the areas of Sderot, Sapir College, Gevim, Ivim, Nir Am and Or Haner.
Residents of Psagot warned to stay inside until further warning after possible infiltration.