After a 2-1 victory over Accrington in a noon kick-off, Steve Kean's men added a 1-1 draw with the hosts later in the afternoon.
Rovers made a bright start to their second game of the day and Brett Emerton sent an early effort into the sidenetting.
But it was Morecambe who went in front as Phil Jevons burst through the Blackburn backline to fire the home side in front.
As expected, Rovers pressed strongly for an equaliser and after having a penalty claim waved away they secured a draw through Mauro Formica's goal.
Earlier, Nikola Kalinic netted the winner as Blackburn began their pre-season with a 2-1 victory over Accrington.
Kalinic took advantage of a mix-up in the Stanley defence to secure the win in the 66th minute for Rovers, for whom fellow forward Junior Hoilett was forced off injured in the first half on Saturday.
He also played a part in Rovers' first goal as he linked up well with Keith Andrews, who made no mistake with his 15th-minute effort.
Stanley, beaten in last season's League Two play-offs by Stevenage, had levelled nine minutes into the second half when trialist Kurtis Guthrie headed home a cross from Ian Craney.