~ところだった (was about to)

She got so furious at him she almost slapped him across the face.

She almost slipped up and said "I don't know."

She was very nearly run over by a truck.

When I woke up, dawn was just breaking.

She nearly drowned.

She was nearly hit by a car.

She nearly went into hiding because of the scandal.

She nearly drowned.

She nearly got run over by a car.

She was nearly late.

She nearly burst into tears.

She nearly drowned.

The train was about to arrive on schedule.