For the first time in months, we're told Lindsay agreed to spend some quality time with Michael -- beginning with an extensive conversation inside the Betty Ford clinic ... followed by a shopping trip to a nearby street fair.
We're told daddy and daughter spent several hours in a high-end jewelry store -- where she was "interested in several items" -- but it's unclear if she actually pulled the trigger.
So what does the future hold for Michael and Lindsay? We're told the two are trying to take a "whole new approach" to their relationship ... and Lindsay wants to see him again.
In fact, we're told the two might get together as early as today.