Edinburgh coach Todd Blackadder:
"It is bitterly disappointing for us, but Stradey is a hard place to come and we showed a lot of resolve out there.
"I was very proud of our players, particularly for the way they played in that second half when Llanelli came out fighting. I was just disappointed we couldn't finish it off.
"We blew opportunities in the first half and didn't maximise the pressure we exerted.
"This pool was always going to be an uphill task but we came away with a bonus and it could be crucial in the final stages."
Scarlets: Byrne; James, Watkins, King, M. Jones; Bowen, L. Davies; John, Rees, J. Davies, A. Jones, Afeaki, Mills, G. Thomas, A. Popham.
Replacements: G. Evans for M. Jones (78), Madden for J. Davies (78), D. Jones for Mills (42).
Not Used: Hawkins, Wyatt, B. Davies, Hercus.
Edinburgh: Southwell; Paterson, Di Rollo, Jorgensen, Webster; Godman, Lawson; Jacobsen, Hall, Smith, Kellock, Murray, Mustchin, Taylor, Hogg.
Replacements: Dey for Jorgensen (77), Blackwood for Lawson (73), Strokosch for Mustchin (40).
Not Used: Kelly, Wharakura, Pringle, Hodge.
Referee: Tony Spreadbury (Bristol)