Albion took an early lead through Murray’s penalty but Saints grabbed an equaliser in the second half to ensure the spoils were shared.
The draw leaves Brighton still looking for a first Premier League win of 2018, but Murray feels there are positives to take from the point at St Mary’s.
“When we come to places like this, you’ve got to think about what they’re saying in the other camp,” he told the Brighton & Hove Independent.
“They will be saying ‘We’ve got to beat Brighton at home’ and they didn’t catch us tonight, so it’s a step in the right direction.
“When we play the likes of teams around us, people possibly look towards the Swansea game at home, and say ‘We’ve got to win that’ and I think when we go away to places, people will say ‘We’ve got to beat Brighton’.
“We’re down there, we’re a relegation candidate. We’ve got to be realistic about the situation and I think that’s what other camps will be saying about us.”
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