King's has been collaborating with Technische UniversitÃ¤t Dresden on a research initiative, known as Transcampus, since 2015.
But, according to Times Higher Education, an "offshore King's College Europe" is now on the cards.
King's College confirmed that it was discussing potential further collaborations with TU Dresden.
The two institutions already offer 10 joint professorships and several joint PhD programmes through Transcampus.
However, its dean, Prof Stefan Bornstein, has told Times Higher Education that plans for the new King's campus are already "in the process".
Prof Bornstein, who is director and chairman of TU Dresden's department of medicine and an honorary consultant in diabetes and endocrinology at King's, said the plan would allow King's to have a presence in Europe and maintain access to European research funding post-Brexit.
Likewise, he said, TU Dresden would benefit from increased ties to London, one of the "leading academic centres in the world".
Prof Bornstein said the new campus would hopefully run new undergraduate courses "linked to innovation and the needs of industry and society".
The aim would be to recruit leading scholars from around the world, he added.
Prof Bornstein said the Transcampus project had been envisaged before the EU referendum but admitted that it had become "a lot more interesting" since the vote.
"We cannot allow things that have developed for so many years in a positive way [to be] hampered by political decisions that actually nobody wanted," he said.
"It's a nice way to have a solution to get around this very stupid Brexit idea."
A number of UK universities are believed to be considering opening branch campuses in Europe after Brexit - though earlier this year Oxford University rejected reports that it was in talks to open a Paris campus.
Prof Bornstein said he would expect the Transcampus model to be replicated by other universities in the UK and Europe, but stressed that the key was a long history of collaboration between researchers at the two institutions.
In a statement, King's said the university valued the Transcampus initiative "which demonstrates the success of cross-national and institutional links".
"We will continue to work together in various fields on research and exchange and discuss potential further collaborations."

The argument from a stunningly successful Leave campaign that "it was our money anyway" clearly worked.
This story is full of huge political miscalculations, most notably at Downing Street.
But the biggest in Wales must be the decision by Welsh Labour to leave it so late to start campaigning to remain in.
By the time they did get out onto the streets of the south Wales valleys, and cities like Newport and Swansea, it was too late.
The narrative of a crisis in immigration had been set and it was like trying to turn round an oil tanker.
There are all sorts of strands but this was about class and money more than anything.
Leave campaigners told us repeatedly the Vale of Glamorgan and Monmouthshire were the most Euro sceptic in Wales, and yet they, and Cardiff, voted to remain.
These are the parts of Wales that regularly top league tables for affluence.
The so-called "left-behind" communities across Wales had their say.
As one pundit said this morning, it was the "masses" against the "classes".
And so this morning, huge questions about the role of a Labour party that has traditionally represented them.

The body of 39-year-old Anayat Bibi was discovered with multiple stab wounds at a house in Vickers Road, in Firth Park, at the weekend.
A 42-year-old man from Sheffield is expected to appear before magistrates on Friday.
Police said two other men, aged 83 and 20, arrested in connection with the killing remained on police bail.
Ms Bibi's body was found by police at about 11:35 BST on Sunday.
King's College London could become the first British university to open a European campus since the referendum.
[NEXT_CONCEPT]
This is an extraordinary rejection of the EU in Wales, especially in the areas which have received the most EU cash - the south Wales valleys.
[NEXT_CONCEPT]
A man has been charged with the murder of a woman who was found stabbed in Sheffield.