Deportivo were left to rue two big opportunities missed by Florin Andone in the first 10 minutes, whilst the Romanian global also saw a late penalty saved by Keylor Navas. This was Bale's first goal in 392 minutes of football.
Deportivo continued to threaten, however, with Andone heading over the crossbar from close range in the 37th minute, while Bakkali was causing problems to the champions with his pace and trickery in a wide position.
Zinedine Zidane has suggested that Real Madrid won't embarked on any more business in the transfer window this summer after Los Blancos began the defence of their La Liga title with an impressive 3-0 victory at Deportivo La Coruna on Sunday night (20 August).
Real Madrid's defender Sergio Ramos clashes with Deportivo La Coruna's Swiss defender Fabian Schar.
The hosts nearly got one back when Guilherme turned in the box and fired a powerful effort against the crossbar.
But there was some frustration for Zidane, with Ramos, who had been fortunate earlier, dismissed in the second minute of added time after catching substitute Borja Valle with an arm in an aerial duel.
Casemiro's goal marked another milestone, the midfielder firing home after a move involving 44 passes - the most before a goal in La Liga since the 2006-07 season.
Ramos has equalled a record for red cards in La Liga, his career tally now standing at 18 dismissals.
- Toni Kroos has scored three goals in his last four games in La Liga, one fewer than he had in his previous 94 (four).
Zidane made four changes from the side that completed a 5-1 aggregate hammering of Barcelona in the Spanish Super Cup on Wednesday.