The first appreciable surge of heat is heading UK bound next week as typically strong upper level high pressure migrates north from Morocco and Algeria into Spain and up over France, eventually reaching all of the UK by mid to later next week.
GFS 500mb perspective. See how heights build northwards through next week.

Credit: AccuWeather Pro

Credit: AccuWeather Pro

Credit: AccuWeather Pro
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Watch the warm air at 850mb migrate north!

Credit: AccuWeather Pro

Credit: AccuWeather Pro

Credit: AccuWeather Pro
Temperatures are expected to approach all-time record values for June in Spain as models send temperatures well into the low, possibly mid-40s.
Check out this southern interior of Spain location and how the GFS meteogram has temperatures reaching 110F (43C) on multiple afternoons.

Credit: AccuWeather Pro
likely to approach or surpass 30C in Southeast England while it may approach 27C over parts of Scotland.
GFS meteogram (F)
LONDON

Credit: AccuWeather Pro
Note the 29C on the 1st.
GLASGOW

Credit: AccuWeather Pro
Note the 26C on the 2nd!
PARIS

Credit: AccuWeather Pro
Note the 37/38C on the 2nd!
As it stands now, models including BOTH the GFS and ECMWF send temps towards 38C in Paris, 30/32C London and possibly 26C in Glasgow by next Wednesday but a rain and ‘cool air’ bearing front crosses the UK by Thursday, significantly dropping temperatures!
Mon PM

Credit: AccuWeather Pro

Credit: AccuWeather Pro
Tue PM

Credit: AccuWeather Pro

Credit: AccuWeather Pro
Wed PM

Credit: AccuWeather Pro

Credit: AccuWeather Pro
Note the difference between Wednesday above and Thursday below.

Credit: AccuWeather Pro

Credit: AccuWeather Pro
See this morning’s video for the discussion.
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How long do you see the heatwave lasting through France?
will answer your question in today’s video, Eric.