Liverpool manager Jurgen Klopp said he was "not interested in sending a statement" to his side's title rivals after victory over Crystal Palace gave them a second successive Premier League win.
The Reds - who finished 25 points behind champions Manchester City in fourth last season - were worthy winners at Selhurst Park and join five other teams, including City, on six points after two games.
James Milner gave them the lead with a penalty after Mohamed Salah was brought down by Mamadou Sakho in the closing seconds of the first half.
Palace had young defender Aaron Wan-Bissaka sent off with 15 minutes left after he brought down Salah when the Egyptian was through on goal.
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