Pedro found the net less than 20 minutes into his Chelsea debut against West Brom on Sunday.
After being thrown straight into the starting line-up by boss Jose Mourinho, Pedro saw his first effort on goal clip the heels of Jonas Olsson before trickling past Boaz Myhill.
And Pedro's influence was again evident when he fired another shot at goal from the edge of the 18-yard box, which was put into the net by Diego Costa to double Chelsea's lead.
The Spaniard completed his £23.5m switch from Barcelona earlier this week after Chelsea stole in front of Manchester United for his signature.
United chief executive Ed Woodward flew to Catalunya to secure a deal but a move failed to materialise.