The magical event came before Fabregas helped Chelsea to a win over title rivals Manchester City at home.
The Spaniard became a father for the third time on Tuesday with his beautiful wife Danielle Semaan.
Fabregas welcomed his first baby-boy, who has been named Leonardo, into the family who joins two sisters Lia and Capri.
The 28-year-old was on-the-field just 24 hours after a memorable night on Wednesday as he helped Chelsea retain a seven point lead at the top of the Premier League.
Cesc started the game and had a good night, before being subbed in the 81st minute – handing the Blues a crucial 2-1 win.
“It was a massive game and thankfully we won,” Fabregas told Chelsea TV after the all important game.
“The result (against Crystal Palace) on Saturday put a lot of pressure on us. We know we still have a good advantage, but this is the Premier League and you don’t want to be giving points away, especially at home.”
“We have character. We can bounce back at anything that comes in front of us. It wasn’t the most pretty game from us, but it was a very consistent performance.”
“We knew what we were doing, we had a game plan and I think it worked perfectly.”
The runaway leaders are all but set to clinch the Premier League table, if they don’t slip up in the coming weeks.He wrote a beautiful caption with the pic that read: Tuesday night we welcomed our gorgeous boy, Leonardo Fàbregas Semaan to the world. A special Thank You to @daniellasemaan my love, for everything you have given me and being the bravest women on earth. I love you so much. Both mummy and baby are doing amazing. 👶🏻🎉❤️”