The two heads of state confirmed their phone conversation on Twitter and said they spoke about the importance of using digital technologies in the fight against the pandemic.
"Joining our digital efforts and continuous collaboration across sectors will be key to ending the spread of #COVID19," Kagame said in a tweet.
Kagame said digital tech could also help in facing the realities that await us all when the pandemic comes to an end.
The Estonian President said after holding discussion with Kagame that the international community needs to stand United during the pandemic.
"Looking forward to working together with @RealSmartAfrica (Smart Africa Secretariat) to develop tech capabilities," she said.
With headquarters in Kigali, the Smart Africa Secretariat is a continental organization that seeks to help African countries transform using digital technologies.
Rwanda and Estonia are known to share the belief that technology ought to be at the center of their socio-economic development.
Estonia is particularly a very tech-savvy country with one of the highest adult literacy in the world, according to UNESCO.
President Kaljulaid last visited Rwanda in 2017 in a two-day working visit and the two discussed cooperation in digital space.
Estonian and Smart Africa are already collaborating to promote Africa’s digital transformation.
As the world grapples with Coronavirus pandemic, technology is seen as an alternative to enable certain businesses to grow.
E-commerce has, for instance, picked a pace during the period many countries have put their citizens on lockdowns.
Citizens in Rwanda are already accessing all needed products through digital platforms.