A council spokesperson said: “The play park in Eglinton will remained closed this week to allow Council officers to assess the extent of the damage.
“The Council would encourage anyone who has any information in relation to this arson attack to contact the PSNI.”
A 15-year-old youth was arrested on Sunday by police investigating the arson attack.
The teenager has since been released on police bail pending further inquiries.
Police branded the arson attack on the children’s play park as “disgusting”.
A spokesperson said: “We are aware there was more than one person present, and we urge them, or anyone who knows anything about them to get in touch with us quoting reference 518 – 13/01/2019.
“We are aware of a number of videos and images circulating on social media and we would ask for those to be removed and to be sent directly to us.
“The response from the community has been overwhelming and we thank you for the support and information.”
SDLP councillor Jim McKeever said local people are “shocked, angry and disgusted”.
“This park is used and enjoyed by families from Eglinton and far beyond,” Mr Mckeever said.
“The wanton destruction of it is an attack on the Eglinton Community.
“I and my SDLP Colleagues will be working with council to ensure that the park can be restored and reopened as soon as possible.”