You can use Google Apps Script to talk to the Insightly API and the project data can be integrated with other Google Services like Google Spreadsheet or Gmail. In a recent project, the Project details stored in Insightly CRM were saved as individual documents in Google Drive which were then shared with the project owner automatically.

function connectToInsightly(endp) {
  var key = '<<Insightly API Key>>';
  var api = 'https://api.insight.ly' + endp;

  var response = UrlFetchApp.fetch(api, {
    muteHTTPexceptions: true,
    headers: {
      Authorization: 'Basic ' + Utilities.base64Encode(key),
      'Content-Type': 'application/json',
    },
  });

  return JSON.parse(response.getContentText());
}

function getProjectDetails() {
  var endp = '/v2.1/Projects';
  var projects = connectToInsightly(endp);

  for (var p in projects) {
    Logger.log(projects[p]);
  }
}

function getCustomFields() {
  var endp = '/v2.1/CustomFields';
  var response = connectToInsightly(endp);
  var cf = {};

  for (var i in response) {
    cf[response[i].CUSTOM_FIELD_ID] = response[i].FIELD_NAME;
  }

  Logger.log(cf);
}