Is there train service from Lisbon to Madrid?
There is an overnight train only. Here is one site you can book on.
The Lusitania Trenhotel leaves Lisbon (Santa Apolonia) daily at 21:18 and Lisbon (Oriente) at 21:27, arriving in Madrid Chamartin station next morning at 08:20. Sleepers, restaurant & bar available.
(from Seat61.com )
Spanish railways information in Spanish
It's much easier to fly between Madrid and Lisbon.
I would fly to save time.
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