In the 72nd minute, Albiol deflected in a corner by the near post with his back to the goal.
"I liked the way the team interpreted the game today against a hard opponent, who move the ball quickly and showed their quality in moments".
The players ahead of Icardi on the list are: Giuseppe Meazza, Silvio Piola, Giampiero Boniperti, Felice Borel and Jose Altafini.
And reaching such milestones against Sampdoria was fitting, Icardi thought.
Under Luciano Spalletti they have improved significantly and captain Mauro Icardi has continued to score with impressive regularity, but sloppily dropping points has seen them drop away from the title race. "Clearly it was in my destiny to reach 103 at Marassi".
Ivan Perisic headed in the first after 26 minutes in Genoa before Icardi stole the show, slotting in a penalty for a century of Serie A goals after half an hour.
The Argentina striker then fooled goalkeeper Emiliano Viviano and defender Gian Marco Ferrari with a splendid backheel goal. He then went on an unstoppable run and completed a hat-trick before half-time.
Inter moved into fourth place, one point ahead of Lazio, which drew 1-1 with Bologna.
The Argentina striker added another one after the break as Inter returned to winning ways in style, and Spalletti - who was heavily critical of his side's display in their goalless draw with Napoli last time out - believes Inter benefitted from some tough love. "Today we needed to be like Napoli and we had the right approach from the first minute and the result shows that".
In general, only Torino (12) have drawn more matches than Inter Milan in the current Serie A season (10).
Despite missing four games through injury this season, he has scored 22 goals in the Italian league.
Portugal forward Andre Silva snatched the victor from close range with eight minutes left and there was still time for Franck Kessie to miss a last-minute Milan penalty, awarded for handball with the help of VAR.
Up next for the Rossoneri after the worldwide break: a visit to Juventus followed by the Milan derby.
Third-placed AS Roma enjoyed a straightforward 2-0 win at lowly Crotone after Stephan El Shaarawy volleyed in Aleksandar Kolarov's cross and Radja Nainggolan scored with a low shot from the edge of the area.
Jordan Veretout had scored Fiorentina's opener before a late equalizer from Andrea Belotti.
Josip Ilicic scored a hat-trick in Atalanta's 5-0 win at lowly Verona in the other game.