Contradiction with Exodus 33:11
Contradiction: Psalms 99:7 states God spoke to people in a pillar of cloud, whereas Exodus 33:11 says God spoke to Moses face to face.
Exodus 33:11: And the LORD spake unto Moses face to face, as a man speaketh unto his friend. And he turned again into the camp: but his servant Joshua, the son of Nun, a young man, departed not out of the tabernacle.
Contradiction with Numbers 12:8
Contradiction: Psalms 99:7 mentions God speaking in a cloudy pillar, while Numbers 12:8 states that God spoke to Moses mouth to mouth, clearly, and not in dark speeches.
Numbers 12:8: With him will I speak mouth to mouth, even apparently, and not in dark speeches; and the similitude of the LORD shall he behold: wherefore then were ye not afraid to speak against my servant Moses?
Contradiction with Deuteronomy 34:10
Contradiction: Psalms 99:7 indicates a more indirect form of communication through the cloudy pillar, whereas Deuteronomy 34:10 describes Moses as knowing God face to face.
Deuteronomy 34:10: And there arose not a prophet since in Israel like unto Moses, whom the LORD knew face to face,