Lamptey was a constant menace in first half and created opportunities for Jakub Moder and Neal Maupay, while Leo Trossard also cracked the woodwork.
Moder and Maupay also missed further chances after the break and substitute Solly March also had two efforts well-saved by Leeds stopper Meslier.
Albion had 20 attempts in total but in the end they were thankful for two sharp saves from returning goalkeeper Rob Sanchez who denied Tyler Roberts.
The point moves Brighton up to eighth in the table while Leeds remain in 17th.
Scroll down and click through to see who shone and who struggled for Albion.
Albion had 20 attempts in total but in the end they were thankful for two sharp saves from returning goalkeeper Rob Sanchez who denied Tyler Roberts.
5. Marc Cucurella 7/10
Played as left back but always looking to bomb forward when he could. Love watching him play, sublime first touch and bundles of energy
6. Tariq Lamptey 8/10
Lively early on. Blistering pace saw Firpo booked and teed up Moder and Maupay for two excellent chances. Brilliant display and replaced by March with 15 to go. Could have walked away with four or five assists if strikers were on form
7. Yves Bissouma 7/10
Controlled power in his midfield role. Played his part perfectly and good in possession. Booked for a late foul on James ,
8. Jakub Moder 6/10
Missed an early chance when he side-footed over from six yards. Athletic display and missed another chance after the break.