Fourth seed Naomi Osaka of Japan booked her place in the third round with a comfortable 6-1, 6-2 win over Italy's Camila Giorgi.
A product of the Ajax youth academy, Van de Beek made his first-team debut in 2015. In total, he played 175 official matches for Ajax, scoring 41 times.
Nationwide demonstrations against what activists have described as police brutality and systemic racial inequality have broken out over the past few months, particularly after police killed George Floyd and shot Jacob Blake. Enditem
There were also second round wins for fourth seed Stefanos Tsitsipas of Greece, fifth seed Alexander Zverev of Germany and seventh seed David Goffin of Belgium.
In women's singles, top seed Pliskova of the Czech Republic was upset by France's Caroline Garcia in the second round.
The 31-year-old's poor relationship with Real Madrid coach Zinedine Zidane is well documented and was made clear when Zidane only used him in two of the 12 games his side played when Spanish football resumed in June after lockdown.
The Tour, which was moved from its original date in July due to the COVID-19 pandemic, ends in Paris on September 20. The next stage is a 191km ride from Le Teil to Mont Aigoual. Enditem
"The Premier League confirms that it has today terminated its agreements for Premier League coverage in China with its license in that territory, the Premier League will not be commenting further on the matter at this stage," read a statement.
Garcia looked untouchable in the first set and for much of the second, blasting 30 winners and breaking Pliskova's serve three times en route to a 6-1, 7-6 (2) victory.
The total number of coronavirus cases in the United States has surpassed 6 million, with national death toll topping 185,000, according to data compiled by Johns Hopkins University.
Brazil are currently eighth in the FIFA women's world rankings, behind the US, Germany, France, Netherlands, Sweden, England and Australia. Enditem