No, it's not going to be that simple. You will have to go through most of the steps a beginning student would. You will need the TSA background check. You'll need at least a third class medical. You'll need to pass the private written. You won't need the student pilot certificate if you're not going to fly solo. And you'll have to meet the hour requirements of subpart E of Part 61. I'm guessing you'll have the 20 hours of solo logged. There's also a requirement for 20 hours dual instruction. Three hours night, three hours X-C, three hours instrument and three hours prep for the checkride. And eight more hours. This part gets tricky. The three hours prep for the checkride you'll have to do here. The FAA allows instruction given by foreign instructors in a foreign country to count but the training has to cover what the FFA requires. For example the 3 hours night training has to include a X-C of at least 100 miles. Even if you have 5 hours night dual, if you don't have the 100 mile X-C you'll have to fill that square. Same with the instrument training. There is a list in 61.109 of items to teach. If you can't show those items were covered in you EASA training you'll have to complete them with a FAA CFI.