Olympiakos got their first points in Champions League Group F by comfortably beating Borussia Dortmund 3-1 at the Georgios Karaiskakis Stadium on Wednesday.The home side opened the scoring after just seven minutes when Ivan Marcano crossed from the left and found Jose Holebas, who outmuscled two defenders and planted a firm header past keeper Roman Weidenfeller.Olympiakos and Borussia traded chances before Polish striker Robert Lewandowski, who had earlier seen a goal ruled out for offside, teed up a volley on the edge of the area and fired past Franco Costanzo to equalise for the visitors in the 26th minute.Kevin Mirallas missed a couple of good chances for the home side before his good work on the right led to Raffik Djebbour putting Olympiakos back in front. The Algerian received the ball in the penalty area, evaded his marker and fired home in the 40th minute.Four minutes later, Djebbour had the chance to extend the lead but he volleyed the ball into the ground and saw his shot skew the wrong side of the post.Olympiakos continued to create chances in the second half. Defender Francois Modesto headed straight at Weidenfeller in the 62nd minute when unmarked at a free kick. Mirallas missed another great opportunity three minutes later as he failed to finish off a rapid counter-attack.Modesto made amends for his miss on 77 minutes, when he flicked an Ariel Ibagaza free-kick past Weidenfeller to seal the three points for the home side.Having lost their first two games in Group F, this was a more convincing performance from the Greek champions who will travel to Dortmund for their next game on Nov. 1 hoping for a similar performance.