Liverpool seized the initiative against RB Leipzig in the first leg of their Champions League last-16 clash by cruising to a 2-0 win in a chilly Budapest on Tuesday. Clinical early second-half strikes from Mohamed Salah and Sadio Mane, both courtesy of dreadful defensive errors, proved decisive and left the German side facing a formidable task in the return leg at Anfield on March 10. The win moves Jurgen Klopp's men to the brink of the Champions League quarter-finals and ends a run of three straight defeats that left the English champions 13 points behind leaders Manchester City in the Premier League. The first leg was moved from Leipzig to the Hungarian capital because of Germany's strict Covid-19 travel restrictions. Despite the move, Leipzig coach Julian Nagelsmann's side started briskly and almost went ahead four minutes in. Marauding left-back Angelino teed up fellow Spaniard Dani Olmo for a close-range diving header past Alisson Becker but it rattled the post. Soon after Angelino again exploited space on the left but his left-footed volley skewed harmlessly across the goal mouth. But it was Liverpool, trying to reverse their slump and badly in need of a Champions League lift, who gradually created more chances, often benefitting from loose defending. First Salah, busy throughout, forced a block from Leipzig's Hungarian goalkeeper Peter Gulacsi on the quarter hour. Ten minutes later Mane, outjumping Nordi Mukiele, headed a Firmino cross just over after the Brazilian striker and Salah combined well on the right. Shortly before half-time, Andy Robertson shaved the crossbar when his lob from distance almost caught out the Budapest-born Gulacsi dashing back after making a clearance outside his box. Although Leipzig perked up on the restart with Alisson saving from Christopher Nkunku, the German side were made to pay for two calamitous mistakes early in the second half. In the 53rd minute, Salah pounced on a sloppy back-pass by Austrian midfielder Marcel Sabitzer and ran unchallenged to smoothly slot past Gulacsi. Five minutes later, Mane doubled Liverpool's lead in similar fashion, smartly finishing after Mukiele had scuffed a clearance. With Swedish playmaker Emil Forsberg sidelined by a knee injury and lacking a talismanic goalscorer, Leipzig looked unlikely to pull one back. Instead, Liverpool cruised to victory, keeping alive their hopes of silverware through Champions League glory this season.