The veteran, who has won 180 caps and scored 23 goals for his country, arrives with PSG desperate to add experience to their squad for another assault on an elusive first Champions League title.
Wijnaldum, who will lead the Dutch on Sunday in their Euro 2020 last-16 clash against the Czech Republic in Budapest, also hinted that he may walk off the pitch if racist slurs were heard from the stands.
The Dutch captain, who signed for Paris Saint-Germain from Liverpool just before the tournament began, scored twice in the second half at the Johan Cruyff Arena after Memphis Depay had put them in front.
Euro 2020, North Macedonia vs Netherlands, Highlights: Georginio Wijnaldum scores brace in Netherlands win
Follow all the live action from the Group C match between North Macedonia and Netherlands on Firstpost.com's LIVE blog!
Wijnaldum, 30, is a free agent with his contract at Anfield expiring at the end of this month, meaning there will be no transfer fee involved.
For several key players in the Netherlands squad, this year's European Championship is an opportunity to rebound after a disappointing season.
Fans were shut when Liverpool ended a 30-year wait to win a league title last season due to coronavirus restrictions and the 10,000 crowd on Sunday was the biggest for at Anfield for 14 months.
FIFA World Cup 2022: Qatar prepares to host amid boycott calls by teams, clubs over humans rights concerns
Qatar says it on track to complete all eight stadiums by the start of 2022 after spending tens of billions of dollars upgrading infrastructure in the tiny, gas-rich nation. Half the venues are already open.
Klopp's side, top of the table at Christmas, have slipped to eighth in the Premier League and look unlikely to finish in the top four.
Premier League: Mohamed Salah stars as Liverpool beat West Ham; Leandro Trossard's goal helps Brighton beat Tottenham
Jurgen Klopp's injury-hit champions appeared to have lost their way after a five-game winless spell but are back on track after beating Tottenham and West Ham in the space of 72 hours.
Liverpool fuming at 'stupid' Jordan Pickford challenge on Virgil van Dijk that requires ACL knee surgery
Pickford will not face any retrospective punishment after referee Michael Oliver took no action on the field, nor was he instructed to review in the incident by VAR.
FIFA Club World Cup 2019: Liverpool midfielder Georginio Wijnaldum ruled out of semi-final against Monterrey with muscle tear
With Liverpool playing in Doha this week, they fielded a starting lineup consisting mainly of reserves for Tuesday’s League Cup semi-final against Aston Villa
Premier League: Liverpool manager Jurgen Klopp says he waits to celebrate goals on touchline due to VAR
Liverpool manager Jurgen Klopp said he waits to celebrate goals on the touchline because of the Video Assistant Referee (VAR), after Sadio Mane’s effort was ruled out for offside in Saturday’s 2-0 Premier League win over Watford
Premier League: Marcus Rashford scores brace as Manchester United beat Jose Mourinho's Tottenham; Liverpool thrash Everton
Jose Mourinho was standing on the edge of his technical area near the halfway line when Manchester United midfielder Daniel James came sliding off the field and clattered head-first into the right knee of the Portuguese coach.
Champions League: Liverpool's Fabinho ruled out till New Year after suffering ankle ligament injury in Napoli draw
Liverpool midfielder Fabinho suffered an ankle ligament injury in Wednesday’s Champions League draw with Napoli and will be out of action until the New Year, the Premier League club said on Friday.
Liverpool's Georginio Wijnaldum says he would walk off pitch if racially abused, even if in final of a big tournament
Liverpool and Netherlands midfielder Georginio Wijnaldum said he would walk off the pitch if he was subjected to racist abuse, even during a major European final.
The result means Ajax, Chelsea and Valencia are level on seven points atop Group H, with the Spaniards coming from behind to beat Lille 4-1.
Premier League: Liverpool defender Virgil van Dijk says team wary of big games ahead despite perfect start to season
Saturday's match-winner Georginio Wijnaldum said Liverpool's scratchy win at Sheffield United was an example of the progress being made under Klopp
Premier League: Georginio Wijnaldum helps Liverpool maintain perfect start; Harry Kane rescues 10-man Tottenham Hotspur
Liverpool sent out an ominous warning to the rest of the Premier League on Saturday, proving they can win ugly as Harry Kane rescued 10-man Tottenham.
Euro 2020 qualifiers: Belgium, Netherlands hit four goals to clinch victories; Germany secure crucial win over Northern Ireland
Belgium and the Netherlands both cruised to 4-0 wins over Scotland and Estonia respectively in Euro 2020 qualifying on Monday, while Germany claimed a crucial victory over Northern Ireland in their bid to qualify for next year's finals.