"Israel's failure to implement its obligations under existing agreements has eroded its credibility, while its continued settlement activities are undermining the very viability of the two state solution," Erakat said.
Hamas, however, called the meeting a continuation of Abbas' "way of begging" to the US and the "Zionist entity."
Fawzi Barhoum, a Hamas spokesman, said the meeting would "accomplish nothing but more pressure on Abbas."
He said the US administration would fail to take "any action on the ground" to halt Israeli "aggressions" and realise Palestinian rights.
In the meeting on Thursday Obama called for a stop to Israeli settlement activity in the occupied West Bank and emphasised the two-state solution.
However, Benyamin Netanyahu, the Israeli prime minister, refused to openly endorse the two-state solution during a meeting with Obama on May 18.
He also rejected the US and Palestinian demand for an absolute freeze in settlement activity.
Netanyahu promised not to build new settlements, but vowed to continue construction in existing ones to accommodate for "natural growth."