"To really share this feeling with her (Kerber), with a nation, I think that's something which is pretty special", she said.
Cibulkova did her best to try and hang on but the Slovakian was left chasing shadows as Ostapenko blasted a backhand victor on her first match point to reach the last four without dropping a set in this year's tournament. "She (Ostapenko) won a Grand Slam, as well".
Goerges, like Williams, recovered from falling a set behind against good friend and occasional doubles partner Kiki Bertens to record a landmark win. "Everybody has the same chances to win that match, and I'm looking forward to it".
This was because the last time he was spotted watching her play, Williams lost in the semifinals of the 2015 US Open, just two wins away from completing the calendar-year Grand Slam.
Kerber needed seven match points to close out No. 14 Daria Kasatkina of Russian Federation 6-3, 7-5 at Centre Court, while Ostapenko defeated 2014 Australian Open runner-up Dominika Cibulkova of Slovakia 7-5, 6-4 on a windy No. 1 Court.
Williams hit serves up to 118 miles per hour, delivering 10 aces, including four in one game.
Li said she did not miss playing on the tour, but did miss the rough and tumble of testing herself against the best.
Even when Giorgi held for 1-1 in the second with an ace though it seemed a matter of time before the match turned.
Shrieking and clenching her fists after every key point that went her way, Serena let out a gutteral "C'mon" once she wrapped up the set.
Kerber came out on top in a spectacular 25-shot rally to force match point number seven and finally got the job done as Kasatkina netted a forehand, the German a relieved 6-3 7-5 victor.
Goerges will be facing Williams in a Grand Slam for the second time in little over five weeks, having lost to the American in the third round of the French Open. It's 5-3 for Kerber and she will once again be serving for the match. "This will help me a lot for the year".
The next time Giorgi served, it did. She harbors no compunction about striving for a point-ending victor with every stroke. She seemed undaunted by the stage or the opponent.
Williams, who hasn't faced a player ranked inside the top 40 en route to the last four, will next face 13th-seeded Julia Goerges of Germany or 20th-seeded Kiki Bertens of the Netherlands.
"If he wants to come to a Wimbledon final, he has that right".
Meanwhile, Ostapenko also achieved a win in straight sets against Dominika Cibulkova, 7-5, 6-4.
Seventeen months ago, Williams won her last major, the 2017 Australian Open, while pregnant.
Goerges, who had never made it past the third round in her 10 previous appearances at the All England Club, advanced with a comeback victory over Bertens.