Albion scraped through to the third round of the Capital One Cup with a 5-3 victory on penalties over Port Vale after the clash was locked at 0-0 in normal time.
Despite West Brom failing to find the back of the net during the game, Pulis has stated that his side had enough chances to score at least 10 goals.
Pulis told reporters: "We could have scored 10 goals today.
"Just take Salomon (Rondon) by himself, he could have scored four goals. His movement is fantastic and I thought (Rickie) Lambert played two unbelievable passes to him that got him in.
"He's hit the post and bar and Lambert has had great opportunities and the keeper has made a wonderful save going one way and then the other, and Rickie has hit the bar from distance.
"It's been very exciting for the supporters and to finish and win on penalties is the right result because the best team won the game without any question of doubt."