Liverpool remained convinced they would win at Crystal Palace despite trailing at half-time and struggling to perform, according to their captain Jordan Henderson.
The Reds fell behind to Luka Milivojevic's penalty and lacked the consistent goalscoring threat they usually pose through Roberto Firmino, Mohamed Salah and Sadio Mane, who was booked for diving in the penalty area.
Palace had also been strengthened by the return to their starting XI of Yohan Cabaye, and Wilfried Zaha and Mamadou Sakho passing late fitness tests.
Jurgen Klopp's team were under pressure not to lose ground in their ambition of beating rivals Manchester United to second place in the Premier League, but Henderson told Liverpool's official website: "We were still full of belief at half-time that we could turn things around and that showed in the second half.