Cristiano Ronaldo said the "Champions League is Real Madrid's competition" after the holders made a winning start to their title defence.
Reigning Ballon d'Or winner Ronaldo scored twice as two-time defending champions Madrid eased past Cypriot visitors APOEL 3-0 at the Santiago Bernabeu on Wednesday.
Still serving a five-match domestic ban for pushing a referee in the Supercopa de Espana, Ronaldo returned to the fold with a trademark brace as he took his record Champions League tally to 107 goals.
Ronaldo and Madrid have their sights firmly set on a third successive European crown.
"There's still a long way to go; let's go game by game. First we have the group stage then we can see," Ronaldo said via UEFA.com.
"We of course want to win this tournament. The Champions League is Real Madrid's competition and we want to win it."
Ronaldo's return was welcomed after back-to-back draws against Valencia and Levante in LaLiga.
The 32-year-old put Madrid ahead in the 12th minute before doubling his tally with a penalty six minutes into the second half.
Madrid captain Sergio Ramos completed the scoring when he converted an exquisite bicycle kick just past the hour-mark in the Spanish capital.
"I'm delighted to be back playing," Ronaldo said. "This is a distinct competition and to start playing again and scoring goals is very important for me. I helped the side and feel good about that.
"It was a game we needed to win; we played at home and wanted to start the Champions League well. I think the side were good; we know we were taking on a defensive outfit. We could've scored more but in the end it was a good result and we've started off well and we're happy with that."
|Guptill added to Black Caps squad|
|Thunder end Raptors´ streak, Davis stars|
|Stars goalie Bishop expected to miss at least two weeks|
|Messi desperate for World Cup success|
|Federer frustrated by Indian Wells final defeat|
|Del Potro: I can´t believe I won Indian Wells|
|Napoli causing Juventus problems as Sarri revels in crucial win|
|Balbirnie happy to boost Ireland chances|
|The better Ronaldo is, the better Madrid will be – Vazquez lauds four-goal hero|
|Ireland inspired by retired team-mates – Sexton|
|Indian Wells crown surreal for Osaka|
|F1 2018: Everything you need to know|
|Salah ´unstoppable´ like Messi, says Watford boss Gracia|
|Demanding Mourinho is still special, insists Matic|
|Truex Jr sweeps stages and wins first race of 2018|
|Woods pleased with progress at Bay Hill|
|McIlroy cruises to victory at Bay Hill, where Tiger impresses|
|Dallas 3 Seattle Sounders 0: Dempsey sees red after VAR|
|Ronaldo ´from another galaxy´, says Zidane|
|Del Potro saves match points to stun Federer for Indian Wells title|
|Eusebio Sack-ristan: Real Sociedad part company with head coach|
|Fassone ready for Gattuso talks after Milan resurgence|
|Napoli 1 Genoa 0: Albiol goal maintains pressure on Juve|
|Real Madrid 6 Girona 3: Four-goal Ronaldo continues hot streak with 50th career hat-trick|
|USA boss Sarachan calls up Weah for Paraguay friendly|
|Excellent Leipzig deserved Bayern win - Heynckes|
|Marquez will sleep easily after last-ditch Qatar move|
|Conte impressed by Morata´s return to scoring form|
|I lost the game myself - Simeone accepts responsibility for Atletico Madrid defeat|
|Borussia Dortmund to delay final Stoger decision - Zorc|
|Toulouse topple leaders Montpellier|
|Puel stands by Schmeichel after FA Cup blunder|
|Neymar could be back for Coupe de France final, says Silva|
|Valverde waits on Iniesta answer as Barcelona captain considers exit|
|Magnificent Osaka claims maiden title at Indian Wells|
|Villarreal 2 Atletico Madrid 1: Unal deals LaLiga title race blow for Simeone´s men|
|Leicester City 1 Chelsea 2 (aet): Pedro and Morata send Conte´s men through|
|RB Leipzig 2 Bayern Munich 1: Werner strike seals memorable triumph|
|Gattuso demands lift from out-of-favour Kalinic|
|Karthik hits final-ball six to win Nidahas Trophy|
|Messi puts us where we are right now - Alcacer hails Barcelona superstar|
|Dovizioso holds off Marquez in Qatar to draw first blood|
|Sampaoli ´right´ to pick others - Icardi understands Argentina snub|
|Barcelona 2 Athletic Bilbao 0: Messi and Alcacer secure comfortable success|
|Hughes excited by Southampton quality|
|Nice prepared for ´likely´ Balotelli departure|
|Wales captain Jones set to miss summer Tests|
|Germany defender Halstenberg extends RB Leipzig contract|
|No offers for Roma´s Alisson, says Monchi|
|Constant compliments guarantee defeat, claims Inter boss Spalletti|
|Scoring 100th Serie A goal at Sampdoria was ´destiny´, says Icardi|
|Stoger happy with Gotze response after public criticism|
|AC Milan 3 Chievo 2: Silva spares Rossoneri once more|
|Silva confident Neymar´s future is at PSG|
|´Shameful´ PSG cannot buy a team, says Balotelli|
|All Black Squire suffers broken thumb|
|Everton goal hero Tosun glad Palace move fell through|
|Wigan Athletic 0 Southampton 2: Hojbjerg and Cedric give Hughes first win|
|Pistons got absolutely screwed - Van Gundy slams officiating in loss to Trail Blazers|
|Selection shake-up not down to Ashes drubbing - Strauss|
|Fiorentina rename training ground after late captain Astori|
|Usain Bolt issued Commonwealth Games warning to Yohan Blake|
|Borussia Dortmund 1 Hannover 0: Batshuayi the difference again for Stoger´s men|
|Nice 1 Paris Saint-Germain 2: Alves earns late victory for runaway leaders|
|Icardi 100: Inter captain´s Serie A landmark in Opta numbers|
|Sampdoria 0 Inter 5: Four-goal Icardi demolishes former side|
|Gray´s tackling ton and Italy´s woeful run - the Six Nations in Opta facts|
|Van Gaal: Heynckes can become a Bayern Munich god|
|Real Madrid without Ramos for Girona test|
|South Africa include Morris & Olivier for remainder of Australia series|