Ulster were unable to take anything from their meeting with Scarlets in Llanelli despite the opposition playing for half an hour with a numerical disadvantage.
Scarlets were shown three yellow cards throughout the contest but, despite a score from Rory Scholes and a penalty try, the visitors could not gain a foothold in proceedings.
With the final kick of the game, Aled Thomas knocked over a penalty to deny Neil Doak's side even the consolation of a losing bonus point.
Scarlets started strongly, with Parkes almost squeezing in at the right corner after a flowing Scarlets counter.
But Rory Scholes just dragged his opposite winger into touch.
And it was fly-half Jones who kept the points adding up for Scarlets, putting three penalties over.
Ulster: L Ludik, C Gilroy, L Marshall, S McCloskey, R Scholes, P Nelson, P Marshall; A Warwick, R Herring (Captain), W Herbst, P Browne, F Van der Merwe, R Wilson, W Faloon, N Williams. Replacements: J Andrew, C Black, R Lutton, R Diack, C Ross, D Shanahan, S Arnold, D Busby.
Scarlets: S Evans, H Parkes, R King, G Owen, M Tagicakibau, D Jones, A Davies; P John, E Phillips, P Edwards,T Price, L Rawlins, A Shingler, J Davies, J Barclay (Captain). Replacements: K Myhill, R Evans, W Taylor, G Earle, R Pitman, K Hardy, A Thomas, T Williams.
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