Here is a node.js package that can migrate sqlite to mongo:
https://github.com/davidyaha/sqlite-to-mongo
https://www.npmjs.com/package/sqlite-to-mongo
You should be able to use this to migrate the data to mongo and then use Meteor on top of that. I am not aware of any mainstream approaches to using sqlite with Meteor directly. Here would be an example on how to do the migration:
const SqliteToMongo = require('sqlite-to-mongo');
var importer = new SqliteToMongo('db.sqlite', 'mongodb://localhost/dbname');
importer.importCollection('users', {
tableName : "USERS_TABLE",
columns: {
ID: '_id',
USERNAME: 'username',
EMAIL : 'profile.email'
}
});
db.sqlite is going to be your sqlite database and mongodb://localhost/dbname will be your local mongo collection. If you are already running meteor, then that will be:
mongodb://localhost:27017/dbname
Where dbname is your database name. The second part is where you would migrate individual tables, where 'users' is the mongo collection (table) and USERS_TABLE is the sqlite table. The last bit is mapping the sqlite columns to fields in mongo.