His Holiness made many predictions about the chinese Invasion in Tibet. Already in 1940 he foresaw:

,,I will not stay. I will go to faraway places – I am not certain where – to use the results of karma from the past.
The cuckoo bird comes to Tibet in the springtime.”

Dwelling in Bhutan he precised in 1944:

“Our people shall not stay here. We will go to India.
The cuckoo bird called by the host of spring knows where to go when seeds mature in autumn's bloom.
I am not thinking of going anywhere else ... but to eastern India." (For the full prediction, please click here)

In 1949 again he predicted:

"The upper, middle, and lower Karma Kagyu seats and the hundred and eighty Karma Kagyu monasteries are all in the same plight. Even worse, we've reached a time where I don't know how many obstacles are going to affect the Buddha's teachings. […] In the end, though, we will have nowhere to flee but India. […] All composite things are impermanent. Only  the Buddha's wisdom is not composite; it is therefore the only place to direct our minds.“

See also: Predictions of the Karmapa by Buddha Shakyamuni and Padmasambhava