"Abbas will meet Meshaal today (in Doha) but the timing is not clear," a senior Palestinian official in Ramallah told AFP.
The Palestinian leader flew to the Qatari capital on Sunday and was to meet with emir Sheikh Tamim bin Hamad al-Thani this morning before attending a family wedding.
He would then meet with the exiled Hamas leader who has been based in Doha for more than two years after leaving his previous base in Damascus due to the bloodshed gripping Syria.
Hamas officials had said at the weekend that the two leaders were expected to meet in Qatar in the coming days.
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Abbas's Fatah movement, which dominates the Palestine Liberation Organisation and rules the West Bank, has been locked in years of bitter rivalry with Meshaal's Hamas since the Islamist movement forcibly took over the Gaza Strip in 2007, ousting forces loyal to the president.
News of the deal provoked an angry response from Israel, which said it would not negotiate with any Palestinian government backed by Hamas, putting the final nail in the coffin of the latest round of peace talks.