I have a 2016 L405 with side rails. I’m looking for a set of cross bars which fit and attach properly to the side rails. I would like Thule but according to their website, they don’t have a product which fits. We live in the mountains and ski often. I’d like to attach a ski rack to the cross bars. Can anyone recommend a set of cross bars for an L405 which already has raised roof rails? Much thanks!

You need the genuine LR cross bars. I have them and they look like Thule bars and they accept Thule accessories without issue. 2024 - 2021MY L405 5.0 SC Portofino Blue
2018 - 2024 2016MY L405 4.4 SDV8 VSE Aintree Green
2017 - 2018 2017MY Jaguar F Pace Portfolio 3.0 SDV6 BRG
2013 - 2017 2010MY L322 3.6TDV8 VSE Buckingham Blue
Various RR Sports and Freelanders before that!

I believe that the factory ones are made by Thule & have been told that Thule Transit ones fit correctly but have been unable to find the exact model (maybe someone here knows?)
I also live in the mountains & the factory ones aren’t suitable for my needs & am currently experimenting with Thule bars & will let you know the specs when I’ve fully tested it in a couple of days!
Strangely Thule list some firings on their Canadian site also Yakima have some but I’ve not found a retailer that has them in Europe.

I used a set of Thule 775 feet and some 150cm Wingbar Evos. They survived a 1200 mile round trip with roof box.

I have the same roof rails. I use Thule EVO raised rail 7104 foot pack paired with Thule WingBar Evo 7115 Roof bars. I had to carefully trim out the underside of of the Wingbar as manufacturers slots don't allow the feet to be close enough to fit the narrower rear. I wanted the wider bars to fit 2 canoes up there.
Many miles with no issues.

So, I finally got to run an abusive test with my Thule setup.
Probably 90kg of timber loaded over 300km of city speed bumps, 90mph autoroute, national route roundabouts etc including an emergency stop, rough bumpy mountain roads & can say that it passed with flying colours! So 150cm Thule wing bars & 710410 feet work, I didn't try the mod mentioned above but I'm thinking of making some 3d printed shoes to get the feet to sit better on the rails & will investigate the other option mentioned.
I must say that the fatty makes an excellent work horse with its air suspension!

Thanks, y’all! I’m glad to hear your Thule set up worked out well with both a box and hauling lumber. I’d love a box but I think it will make the vehicle too high for our parking garages. I will use the Thule feet and wing bar with a Thule ski rack. We have a local Thule dealer here. I think I will stop over. There are also plenty for sale on line I can have shipped. As always, this is an excellent forum!