But the visitors have under-achieved in recent times more than you might realise.
Wolfsburg players looked relaxed as they strolled along Brighton seafront last night.
But they were run ragged by Feyenoord last week, trailing 4-0 when the game was cut short due to medical emergency in the crowd on 80 minutes.
They are looking for a fresh restart this summer under head coach Paul Simonis, who came in to succeed former Southampton manager boss Ralph Hasenhuttl.
With the help of reporter Thomas Hurner, we take a look at the test facing Albion this afternoon.
Life after Glasner
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Wolfsburg have under-performed in the last three or four years since current Crystal Palace boss Oliver Glasner left them.
They have had big name bosses such as Niko Kovac and Hasenhuttl but never really had a clear identity of play they want to develop.
Last season, Hasenhuttl had a pressing style but they were hard to watch and he was sacked after a 4-0 defeat to Dortmund in which Pascal Gross had an assist.
The financial backing
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The average Albion fan was not likely to be too shocked to see Wolfsburg in a modest 11th place in the Bundesliga last season.
They are not one of the big names and they tend to go under the radar even in Germany, let alone here.
But they were Bundesliga champions as recently as 2009.
Bear in mind they have the fifth or sixth best budget in Germany thanks to the support of Volkswagen.
That makes mid-table an under-achievement but there is not a huge outcry about that in Germany, where they are not a team too many people talk about.
New start
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They have had a new managing director in charge since last summer in a demanding Dane, Peter Christiansen.
He knew what he wanted and replaced Hasenhuttl, who was not his appointment originally, with current coach Simonis.
At 40, Simonis is a young coach by most standards (if not Albion’s) and is relatively inexperienced.
He has one good season under him, when he led Go Ahead Eagles to glory in the Dutch Cup.
They beat AZ Alkmaar on penalties in the final after snatching a 1-1 draw with a spot kick nine minutes into added time.
Simonis wants his team to have a lot of the ball and develop a style with which they have not previously been identified.
Even when they won the league in 2009 under Felix Magath, they were more of a defensive team.
Simonis wants to develop a possession-based team but it is very much a work in progress at this early stage.
Wolfsburg ranked 12th for possession share in the Bundesliga last season with 45.9%, which shows the gear change they are currently looking to pull off.
If Albion get their pressing right, as they have at times in pre-season, there could be rich pickings.
Anyone to look out for?
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Wolfsburg do not have genuine club legends but the closest to that is Maximilan Arnold, the long-time captain.
A defensive midfielder who came through from youth ranks, he is a tough player but also good on the ball with an eye for the long pass.
He has been a leader for years and is the face of the club.
Konstantinos Koulierakis is a Greek defender bought ahead of last season from PAOK for about £15 million, which makes him a former team-mate of Albion new boy Stefanos Tzimas.
He is worth a lot more now than the sum Wolfsburg paid for him and is a very athletic defender.
Mohamed Amoura is a very fast, small Algerian attacker formerly with Tony Bloom’s Union St Gilloise, for whom he scored 21 goals in 45 games two seasons ago.
Amoura started last season very well over the first 20 matches or so after making the move to Wolfsburg and is one of the most interesting players in the squad.
Their ranks also include Vini Souza, who was a feisty opponent for the Seagulls when playing for Sheffield United two seasons ago.