Ralph Hasenhuttl admitted that Southampton would have to be more clinical if they are to challenge the bigger teams this season.
Despite a late surge, Southampton fell short of snatching a point from Liverpool, after Danny Ings had pulled a goal back against his former club in the closing stages to make it 2-1.
Speaking to BBC Sport, Hasenhuttl praised his side’s desire and work rate, but admitted their finishing will have to improve.
“We had a big chance to make the equaliser, Danny Ings could have been the big hero of the day against his former club,” he said. “He scored the first one and the second was an unbelievable chance.
“We showed a reaction from last week, we had a fantastic first half but it was an amazing goal from Sadio Mane. The second half was difficult after this and we had tough moments. But at 2-0 we didn’t give up, we believed what we were doing and finally came back to 2-1.
“We tried everything and it is a pity we haven’t got a point but showed our fight.
“We have to take our chances, that was the big difference. They had one big one for Sadio Mane and scored, we had a big header from Maya Yoshida and it was a good save from the goalkeeper.
“We had some good chances but weren’t not clinical enough if you want to take something against a big team.”
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