Hamas spokesperson, Hazim Qassem, said in a statement that al-Alami, 62, has died in Shifa Hospital in Gaza.
Read the full story here. Al-Alami remained there - on life support - until his death Tuesday, the Jerusalem Post reports.
"Outlawed by the United States in 2003 for his position in Hamas, al-Alami was considered one of the Gaza terror group" s most important assets, due to his extensive ties with the Iranian government - a major sponsor of Hamas - and his personal relationship with Hezbollah chief Hassan Nasrallah, himself a client of the Tehran regime.
He was visited in hospital by Hamas leader Ismail Haniya, Gaza chief Yahya Sinwar and his deputy Khalil al-Hayya shortly after the shooting. Hamas has said Iran is now its leading military backer.
He worked as a representative of Hamas in Iran then left for Syria only to return to Gaza in 2012. He did not take part in press conferences; nor was he active on any social media platform.
After the 2014 war between Hamas and Israel, Alami traveled to Turkey for treatment for what Hamas said was an injury during the war. According to the Times of Israel, he may have been hurt when an elevator collapsed in a tunnel where he was hiding, or injured in a gun battle between Hamas activists.