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."
|Cherry-Evans fined by Sea Eagles|
|Cavaliers blow lead as Raptors, Celtics lose|
|White Sox´s Farquhar faints in dugout, taken to hospital|
|Sporting Kansas City 6 Vancouver Whitecaps 0: Russell stars with hat-trick|
|Winslow fined $15,000 for stepping on Embiid´s mask|
|I don´t fear the challenge – Klopp eager to close gap to City|
|Johnson shares lead as Garcia misses cut in Texas|
|Career backup QB Luke McCown retires at 36|
|Texans ´optimistic´ about Clowney contract extension|
|Everybody wants to play under him – Ozil pays tribute to Wenger|
|Conte defends Chelsea record compared to Mourinho|
|LaLiga strugglers Espanyol show Flores the door|
|Messi is an alien but Sevilla can bring Barcelona back down to Earth, insists Montella|
|Four in a row for Wigan as Saints thrash Huddersfield|
|Reims´ latest vintage secure promotion to Ligue 1|
|Gloucester cruise into Challenge Cup final|
|Quiros claims one-shot lead despite rollercoaster round two|
|Millwall 0 Fulham 3: Sessegnon on target as Jokanovic´s side go second|
|Curry to begin modified practices on Saturday|
|Ancelotti welcomes Arsenal links, praises Wenger decision|
|Nadal produces ´best match of tournament´ as Dimitrov beats doubles partner|
|I think Arsenal would be good for a German coach - Podolski|
|Wilshere, Ramsey, Mertesacker and the best social media reaction to Wenger´s Arsenal departure|
|Watson haunts Royals with Super Kings hundred|
|Selby bracing himself for tough title defence|
|Exeter left ´disappointed´ by Ampadu transfer verdict|
|Froome thrilled with ´perfect´ build-up to Giro|
|Copa del Rey glory a good way to put European exit behind us, says Valverde|
|LMA hails Wenger´s impact at Arsenal|
|Wenger passes the torch as Arsenal face up to his formidable legacy|
|Gazidis: Arsenal cannot replace Wenger – we need a new path|
|Ronnie rivals never doubted Crucible attendance of ´snooker´s Tiger Woods´|
|Van Bronckhorst using Wenger´s methods at Feyenoord|
|Former NFL lineman Evan Mathis´ 1952 Mickey Mantle card sells for $2.88M|
|Wasps forward Johnson suspended for failed drugs test|
|I´d break another finger to win the Copa del Rey - Rakitic|
|Arsene Wenger: The Arsenal manager´s worst moments|
|Wright: More Arsenal changes needed after Wenger exit|
|Guardiola wishes Iniesta the best ahead of potential Barcelona exit|
|Real football people appreciate Wenger - Moyes, Warnock and more pay tribute|
|Guardiola set for contract talks with Manchester City|
|Controversial Slater score helps Storm to victory|
|Liverpool top, DVDs just invented and no Harry Potter – The world when Wenger joined Arsenal|
|Heynckes cannot compare Lewandowski and Ronaldo|
|Ronaldinho, Ronaldo, Messi, Mbappe and more – the stars Wenger claims he could have signed|
|Ferguson: Rival, colleague and friend Wenger is one of the greatest|
|Gattuso wary of challenge for Milan´s European place|
|Neuer returns to Bayern training after seventh-month absence|
|Wembley no advantage for Spurs in semi-final, warns Mourinho|
|WATCH: Dez Bryant works out with Odell Beckham Jr. as rumors swirl|
|PSG, Monaco, the CSL, France? - Wenger´s possible next moves|
|Rematches, rivalries and a mouth-watering Wembley clash – The pick of the 2018 NFL schedule|
|Wenger ´an example´ to foreign Premier League managers like Benitez|
|Wilshere: Wenger is like a father|
|Guardiola wants Wenger to find new role in football|
|Henry: Wenger´s Arsenal legacy is untouchable|
|Mourinho: Wenger feud shows how much I respect him|
|Conte: Top four still possible for Chelsea|
|Frizell inspires Highlanders win over Blues, Lions beat Waratahs|
|Majestic Nadal hammers Thiem in Monte Carlo|
|Aguero out for the season - Guardiola|
|Wenger´s 22-year Arsenal tenure will not be matched, says Conte|
|Celtic would let Rodgers move to Arsenal|
|Squillaci, Cech & Wenger´s worst signings at Arsenal|
|Heynckes: I cannot imagine Wenger at another club|
|Thank you Arsene - Emery pays tribute to Wenger|
|Fabregas and Van Persie join tributes to Arsenal boss Wenger|
|Smith confirmed as England national selector|
|1,228 matches and seven FA Cups - Wenger at Arsenal in Opta numbers|
|Mertesacker ´emotional´ as Wenger announces Arsenal departure|