I have a Sommer 868MhHz rolling code door that is not compatible with the Telsa Homelink system.
I purchased the Chamberlain system people have mentioned and listed by Homelink themselves and could not get that to work so I purchased a similar 868 MHz product from Sommer that uses a rolling code and is listed as compatible by Homelink on the Tesla and that did not work.
In both cases I could programme the remote into the Tesla, but then I could not pair the Tesla with the rolling code.
I note
@Roy W. you said to try a fixed code remote with the Chamberlain system, but the remote you linked to says it is a rolling code remote. Were you able to programme that remote into the Chamberlain box then into theTesla without going through the second pairing step on the Tesla?
I have spent hours as well as almost £200 on various systems and still not managed to get the Tesla Homelink system to work. It is particularly annoying that the Chamberlain system is actually linked to the Homelink page as the solution and the extra Sommer system is also explicitly listed as being compatible by Homelink.