Precognition

Precognition involved the perception of events which have yet to happen.

Interestingly, Engin, a Time Lord declared precognition "impossible" after the Fourth Doctor told him of his precognitive vision of the assassination of the Lord President. (DW: The Deadly Assassin) This may, however, be related to statements saying that Time travel into Gallifrey's future was forbidden or blocked, and a similar block may also have applied to the use of precognitive powers regarding future events on Gallifrey.

As with other "paranormal" phenomena, the presence of a time fissure could enable Humans to develop precognitive powers. The Doctor attributed the special powers possessed by Ma Tyler (respected by locals as a witch) to the fact that she had always lived near such a time fissure. (DW: Image of the Fendahl)

One half of the quantum transducer enabled users to see the future, the other half relaying visions of past events. (TW: Ghost Machine)

Other Instances

 * Though the matter has some ambiguity attached to it, the Second Doctor seemed to have precognitive foreknowledge of what he would encounter in the Land of Fiction. (DW: The Mind Robber)
 * Leela had an apparent precognitive dream of the Fendahl. (DW: Image of the Fendahl)
 * Gwen Cooper had a precognitive vision of the stabbing death of her boyfriend, Rhys. She managed to prevent the event in the location in which she saw his death as having occurred, but could not prevent his death from happening elsewhere. (TW: End of Days)
 * The people of Eve were a time-sensitive race and were able to read timelines (ie. seeing the past and reading the future). However, they were all but exterminated in the Last Great Time War . (SJA: The Mad Woman in the Attic)