The 22-year-old Croatian center (2.16m) has played NBA basketball for four seasons, the first three of them for the Phoenix Suns that selected him as a fourth overall pick of the 2016 draft.
The former world No. 1 is set to face a tougher challenge in the second round against 2017 champion Jelena Ostapenko of Latvia, who knocked out American Madison Brengle 6-2, 6-1.
The "TSG" should have added another goal to their lead but neither Christoph Baumgartner nor Kramaric were able to beat Neuer at the half hour mark.
Like Bayern, Borussia Dortmund might also feel comfortable, drawing Lazio, Club Brugge, and Zenit St. Petersburg in Group F.
Bayern started highly motivated in the encounter and took command while Hoffenheim kept 11 men behind the ball in the opening stages.
By contrast, Bottas, who had started third, inherited the lead after Hamilton's pit stop, and was able to make his own stop on lap 27 without losing the first place that he would then hold to the end.
"I think it's a great variety shot, the dropshot. I think it's important tactically to have it and to use it at the right time so that you can keep your opponent always guessing what the next shot is," said the top seed, who is seeking his 18th Grand Slam title at Paris.
Hamilton's earlier stop, coupled with his time penalties, meant the Briton emerged from the pitlane down in 11th place. Though he was able to carve his way through the field to finish third, Hamilton was clearly irked at his punishment and voiced his displeasure over the pits-to-car radio.
The Tri beat Guatemala 3-0 in a friendly at Azteca stadium on Wednesday - the first outing of the year for both teams.
Although Jurgen Klopp's men were relentless, Arsenal had their chances and Alisson had to be at his best to twice deny Lacazette who had been put through on goal.
Chelsea showed both defensive frailty and fighting spirit as they fought back from 3-0 down away to West Brom to claim a 3-3 draw.