I once had to plan around this 10 day min on a DONE4. I left LAX-LHR on Jan 7, and the earliest I could leave from MEL-LAX was Jan 17 - I think that is the 10th day if the day after the first segment is the first day. This worked out fine for me since Jan 16th was Presidents' day in the US and although I left MEL on Jan 17 (Tue) I also arrived into LAX on Jan 17th and was able to go straight to work.