On Sunday, Kloots shared a video of 13-month-old Elvis Eduardo on Instagram showing him looking at photos of his late father on a picture lamp.
In the clip, Kloots asks Elvis to point to a photo of his father, saying “where's dada” before the toddler leans over and grabs the lamp while saying “Dada, right there".
“Elvis said his first words today!! Listen closely!” Kloots wrote in the caption for the video.
“He pointed at Nick in our new picture light and said 'right there.' He hasn't seen Nick since March 30th."
She continued: "The fact that he still knows who his Dada is, point to him and give him a kiss to me is amazing.”
The video of Elvis speaking comes after Cordero died earlier this month at the age of 41.
The actor died on Sunday 5 July at the Cedars-Sinai Medical Center in Los Angeles, where he had been for more than 90 days due to complications of the coronavirus.
Over the course of 13 weeks, the Tony-nominated star faced a series of complications during his hospitalisation, including septic shock, two mini strokes and a leg amputation.
Last week, Kloots spoke about moving on and adjusting to a new normal in her life without her late husband in it and revealed that she is starting the process of moving their belongings into the home she purchased with Cordero before he died.
“Heading back to Los Angeles today with a brave face. These next couple weeks I will start the transition of moving into the home Nick and I bought together,” Kloots said in an Instagram story.
“I’m not expecting this to be easy, in fact I think it will be very hard, but I’m going into it knowing I need to be strong.
"I have to find my new normal, at least whatever that is for Elvis and I right now.”
She continued: "I know Nick will be with us. He wanted to live in this house more than anything so I’ll put lots of family photos up and make sure his presence is with us."