Suleiman made his comments in the mountain village of Brih during a ceremony on reconciliation between the Druse and Christian community in the area that witnessed deadly sectarian violence during Lebanon's 1975-90 civil war.
"I appeal for the return to Lebanon and to withdraw from neighboring arenas to avoid future repercussions on Lebanon," said Suleiman, a critic of Hezbollah backing Syrian President Bashar Assad's forces.
Hezbollah, which openly joined the battles in Syria last year, is not likely to abide by Suleiman's call. Hezbollah leader Sheik Hassan Nasrallah has vowed to keep his fighters in Syria as long as needed to shore up Assad's struggle against Syria's rebels.
Suleiman's comments came a week before his six-year term ends.
Meanwhile in Syria, members of al-Qaida breakaway group called the Islamic State of Iraq and the Levant beheaded a local rebel commander of a rival group, activists said.
The Britain-based Syrian Observatory for Human Rights reported that the Ahrar al-Sham commander known as Abu al-Miqdam went missing four days ago.
The Islamic State and rival Islamic groups including Ahrar al-Sham have been fighting each other in northern and eastern Syria since January. Activists say the internal fighting killed more than 6,000 people.
Meanwhile, United Nations Secretary-General Ban Ki-moon condemned a cut in water supplies in the northern Syrian city of Aleppo that he said has deprived at least 2.5 million people of access to potable water.
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