News of the pair's split surfaced in November last year, with one source claiming they had secretly separated several months prior to that.
A source said: "They are still friendly and spend time together in LA when Kate is there. There has been no drama. It's just not Kate's style. They have both had complicated schedules and have grown apart."
An insider added at the time: "Kate is not dating and only focused on her daughter and work. [Len's] primary concern in all of this is Lily. He loves his stepdaughter and is there for her."
Meanwhile, Beckinsale previously revealed she is proud of her "intelligent and feisty" daughter but finds parenting a teenager is much trickier than looking after a younger child.
She shared: "Lily is a great, bright, intelligent, feisty girl. Although I do think it's harder being the parent of a teenager than a baby. I wouldn't have said that at the time because you think that every stage you're in is the hardest one.
"But I do think little kids have little problems and bigger kids have bigger problems, so you spend much of your time in terror when they do things like driving - that's scary. I'm quite jealous of friends whose kids aren't doing that yet."