http://www.naharnet.com/stories/en/86176-report-hizbullah-to-suspend-syria-operations-after-taking-zabadani

Excerpt: 

Hizbullah will suspend its military operations in Syria after securing the Damascus suburb of Zabadani “from which rockets are being fired on Shiite villages in Baalbek and Hermel,” the Central News Agency reported on Saturday.

“After the operations officially ended in Qusayr, Hizbullah is about to finish the Zabadani battle, from which rockets are still being fired on Baalbek and Sarein,” the agency quoted prominent high-ranking sources close to Hizbullah as saying.

Zabadani is a city in the Damascus governorate, close to the border with Lebanon's Bekaa Valley.

“The party's leadership has informed the allies and friends that the mission of protecting the Lebanese in Syria and towns inside Lebanon from any attack is almost accomplished,” the sources said.

“It is not in the party's interest to engage in a war in Syria's heart (against rebels) as the Syrian army is capable of winning it,” the sources added.

On a related note: http://www.aljazeera.com/news/middleeast/2013/06/201368155710139389.html

Red cross evacuates some injured Syrians and Lebanese to hospitals in Lebanon after the battle of Qusayr. They weren't allowed to evacuate the wounded for days after the fighting and many died from blood loss and infection.